The historic brick and cast-iron building is now a boutique condo with just five units — and this one has its own rooftop deck.

Once home to the legendary Mudd Club, that nexus of downtown cool in the late 1970s and early ’80s, 77 White Street is now a discreet five-unit condo with this oh-wow triplex penthouse with a private roof deck on the top three floors.

Grace Jones, Andy Warhol, Keith Haring (he had a fourth-floor studio), and David Bowie are long gone, but the classic red brick and cast-iron building still exudes downtown cool — just with a different and more modern vibe — all these years later.

Tucked within the Tribeca East Historic District at the corner of White Street and Cortlandt Alley, the boutique 1888 building offers assured privacy and security, with direct-keyed access via the elevator and a discreet lobby entrance on Cortlandt, where you can pull up right to the front door to load and unload your car.

And while the ground-level conditions are great, we’re here to talk about what’s on top. By the numbers, the 5,401-square-foot penthouse offers six bedrooms, five full bathrooms, two powder rooms, and extremely low monthly carrying costs.

The vibe inside is sophisticated-contemporary meets industrial chic, with exposed brick walls and ceiling beams, accentuated ebony wood floors, soaring ceilings with skylights, lots of wall space for artwork, and oversized windows that bring in all-day bright light.

Let’s take a floor-by-floor look at how the residence is laid out. The main living level has an open-plan great room with dedicated seating and dining areas, a fireplace, and a row of north- and west-facing windows that look out to iconic cast-iron facades. Just off the great room, the hard-working windowed kitchen takes center stage. It features a large island, Caesarstone countertops, Macassar Ebony cabinetry, and a suite of professional-grade appliances that include a vented 48-inch, six-burner Wolf range with a dual-option convection/standard oven, a Sub-Zero refrigerator, a 150-bottle wine fridge, a trash compactor, and two sinks and dishwashers. What we totally love here are the four sets of French doors that can shut off the room for entertaining or work-from-home (or homework) privacy.

This main level also holds a cozy den with a powder room and a media center, complete with a roll-down projector screen and custom speakers. At the back of the place, there’s a large bedroom with a windowed bathroom.

The downstairs sleeping quarters features four bedrooms, each with large and extra-quiet windows. The primary suite has both solar and blackout shades, a handsome wall of custom built-in closets, and a large walk-in closet with a beauty (or work-from-home) desk. The spa-worthy en-suite features Italian marble walls, a frameless glass shower, a jetted soaking tub, and a dual-sink vanity. This lower level also features direct elevator access into an entryway mudroom, a laundry center with a sink and fridge, and tons of storage.

The top-level holds a large flex-space solarium (with a full bathroom) that can work as an office, a game room, or even a cool primary. It opens to the private roof deck, which has an outdoor kitchen with a grill, a refrigerator, a sink — even a powder room. The downtown views up here are just sublime.

Tribeca’s little secret is that it’s an incredibly convenient neighborhood, with easy access to SoHo/Nolita, the Financial District, and the Bowery. It also offers fine dining, art galleries and fashionable boutiques as well as easy access to a veritable alphabet soup of subway lines.