The cheese in a cheeseburger substantially changes its nutritional value. For example, in comparison to their standard hamburger, which only differs by the slice of cheese, a McDonald's cheeseburger has 20% more calories, 33% more fat and 25% more protein. Other types of cheese would have varying effects, depending on their nutritional content.
…at the hungry age of 16, [Sternberger] experimentally dropped a slab of American cheese on a sizzling hamburger while helping out at his father's sandwich shop in Pasadena, thereby inventing the cheeseburger…
Cheeseburgers appear to have been invented independently in different regions. For example, Kaelin's Restaurant in Louisville, Kentucky claims to have invented the cheeseburger in 1934. One year later, a trademark for the name "cheeseburger" was awarded to Louis Ballast of the Humpty Dumpty Drive-In in Denver, Colorado.
A Jucy Lucy is a type of cheeseburger, developed and popularized in Minneapolis, Minnesota, where the cheese is placed inside the raw meat and then cooked until it melts.
There are also multi-patty cheeseburgers, with the name changing in correspondence to the number of patties used. For example, a double cheesburger has two patties, and a triple cheesburger has three. Multiples beyond three are rare and generally not available in restaurants.