There are 6 US Post Offices in Sawyer County serving a total of 16,647 residents equating to 2,775 residents per post office. It's estimated that approximately 26,570 packages are handled across the 6 county post offices annually. Sawyer County is a county in the U.S. state of Wisconsin. As of the 2010 census, the population was 16,557. Its county seat is Hayward."