A turbocharger includes a waste gate valve, a compressor, a turbine, a turbine housing which houses the turbine, a bypass channel which includes an opening cross-section, the bypass channel bypassing the turbine, a bypass channel portion formed in the turbine housing, an actuator housing which includes a separate first coolant channel having a coolant inlet port and a coolant outlet port, an electric motor arranged in the actuator housing, a transmission which includes an output shaft, the transmission being arranged in the actuator housing, and a control body coupled to the output shaft. The actuator housing is formed separately and is secured to the turbine housing. The control body controls the opening cross-section of the bypass channel.