Mount Orab is a village in Brown County, Ohio, United States. The population was 2,307 at the 2000 census. According to the United States Census Bureau, the village has a total area of 3.8 square miles (9.8 km2), all land. As of the census of 2000, there were 2,307 people, 879 households, and 639 families residing in the village. The population density was 607.7 people per square mile (234.4/km²). There were 932 housing units at an average density of 245.5 per square mile (94.7/km²). The racial makeup of the village was 99.22% White, 0.13% African American, 0.22% Native American, 0.04% Asian, and 0.39% from two or more races. Hispanic or Latino of any race were 0.22% of the population.