Pulse hash browns and black beans in food processor until mixed but chunky (about 10 pulses). Combine with cumin, oregano, chili powder, salt, onion, jalapeño and egg. Form mixture into 6 ½-inch-thick patties and spray each side generously with cooking spray.
Heat a griddle or large nonstick skillet over medium heat and cook patties about 5 min on each side (if using a skillet, work in batches). Keep on a baking sheet in a warm oven until ready to serve.
Serve hash browns with fried eggs and desired toppings.
Rather than making patties, you can simply cook potatoes and beans together and serve like hashbrowns.