Farrah Abraham proves you can make money in all sorts of positions, because she just bought herself a new home.

The "Teen Mom"/porn star plunked down $845,000 for a townhouse in the Hollywood Hills.

It's roomy enough for Farrah and her 7-year-old daughter for sure ... 2,700 square feet, 4 bedrooms, loft and 3 car garage.

Amy Klein from Rodeo Realty sealed the deal.

She's officially in Hollywood, folks.