Preheat grill for high heat.

In a large bowl, mix together the ground beef, Cheddar cheese, horseradish, salt, pepper, garlic powder, and bacon bits using your hands. Shape the mixture into 4 hamburger patties.

Lightly oil the grill grate. Place hamburger patties on the grill, and cook for 5 minutes per side, or until well done. Serve on buns.