Hey Denver, here is a tasty little fact: According to NationalDayCalendar.com, In 1935, a trademark for the name “cheeseburger” was awarded to Louis Ballast of the Humpty Dumpty Drive-In in Denver. So if anyone deserves to celebrate National Cheeseburger Day, it’s you, right? Tuesday, September 18, is the big day. Here is where to catch a deal. Red Robin In celebration of National Cheeseburger Day, burger lovers may visit any participating Red Robin restaurant to enjoy a Gourmet Cheeseburger and Bottomless Steak Fries for only $5, with the purchase of any beverage.