River Falls, AL -- U.S. town in Alabama Population (2000): 616 Housing Units (2000): 307 Land area (2000): 6.927605 sq. miles (17.942413 sq. km) Water area (2000): 0.186693 sq. miles (0.483532 sq. km) Total area (2000): 7.114298 sq. miles (18.425945 sq. km) FIPS code: 64776 Located within: Alabama (AL), FIPS 01 Location: 31.351948 N, 86.536680 W ZIP Codes (1990): Note: some ZIP codes may be omitted esp. for suburbs. Headwords: River Falls, AL River Falls