Ouray -- U.S. County in Colorado Population (2000): 3742 Housing Units (2000): 2146 Land area (2000): 540.468376 sq. miles (1399.806609 sq. km) Water area (2000): 1.739934 sq. miles (4.506407 sq. km) Total area (2000): 542.208310 sq. miles (1404.313016 sq. km) Located within: Colorado (CO), FIPS 08 Location: 38.146914 N, 107.770560 W Headwords: Ouray Ouray, CO Ouray County Ouray County, CO