A multistage turbocompressor, designed as a geared compressor with an integrated gear, contains a central greater wheel (9) that meshes with a plurality of pinions (14, 15), wherein each pinion (14, 15) is mounted, in a manner adapted to rotate in unison, on a pinion shaft (16, 17). A bladed wheel of a compressor stage (II, III, IV, V) is arranged on the ends of each of the pinion shafts. The greater wheel (9) meshes with a driving pinion (8), which is mounted, in a manner adapted to rotate in unison, on a driving shaft 6 connected to a drive unit (1). The axis of the driving pinion (8) is arranged, with the axis of the greater wheel (9), in the same horizontal plane (20), and the driving pinion (8) meshes with a pinion (10) of a first compressor stage (I) mounted, in a manner adapted to rotate in unison, on a pinion shaft (11).