Get location names from coordinates

The user can chose a location from the map. The coordinates (longitude and latitude) are saved.

Now I would like to receive and automatically save the details like country, city, zip, ... of the chosen point into the prepared fields of the gmap module (from coordinates to location name).
How can I solve this problem (especially for switzerland)?

Installed modules: gma, locations, geonames

See attached file: instead of the coordinates I'd like to see the name of the city, zip and street without need to type them manually.