There are 6 US Post Offices in Park County serving a total of 28,229 residents equating to 4,705 residents per post office. It's estimated that approximately 45,057 packages are handled across the 6 county post offices annually. Park County is a county located in the U.S. state of Wyoming. As of the 2010 census, the population was 28,205. The county seat is Cody. Park County is a mecca for tourists. The county contains the majority (more than 53%) of Yellowstone National Park's total land area. Many attractions abound, including the Buffalo Bill Historical Center, the Cody Stampede Rodeo, and the western museum, Old Trail Town."