There are 7 US Post Offices in Bingham County serving a total of 43,715 residents equating to 6,245 residents per post office. It's estimated that approximately 69,774 packages are handled across the 7 county post offices annually. Bingham County is a county located in the U.S. state of Idaho. As of the 2010 census, the population was 45,607. The county seat and largest city is Blackfoot. Bingham County comprises the Blackfoot, ID Micropolitan Statistical Area, which is included in the Idaho Falls-Rexburg-Blackfoot, ID Combined Statistical Area.