"This afternoon the body was identified in Sussex as that of Mr Bhattacharjee," said Metropolitan police. His death is being treated as non-suspicious.
Bhattacharjee was said to be in good spirits when he was last seen as at a theatre in central London.
The London actor also appeared in The Best Exotic Marigold Hotel, White Teeth and Dirty Pretty Things.
Police described his disappearance as "totally out of character".