There are 25 US Post Offices in Orange County serving a total of 27,956 residents equating to 1,118 residents per post office. It's estimated that approximately 44,621 packages are handled across the 25 county post offices annually. Orange County is a county located in the state of Vermont, in the United States. As of the 2010 census, the population was 28,936. Its shire town (county seat) is the municipality of Chelsea. Orange County was organized on 2 February 1781 as an original county within the state."