Hachita is a census-designated place in Grant County, New Mexico, United States. Its population was 49 as of the 2010 census. Hachita has a post office with ZIP code 88040. New Mexico State Road 9, New Mexico State Road 81, and New Mexico State Road 146 pass through the community. The ghost town of Old Hachita is several miles west of th…Hachita is a census-designated place in Grant County, New Mexico, United States. Its population was 49 as of the 2010 census. Hachita has a post office with ZIP code 88040. New Mexico State Road 9, New Mexico State Road 81, and New Mexico State Road 146 pass through the community. The ghost town of Old Hachita is several miles west of the town.