A method for manufacturing a housing of a turbomachine, in particular a housing of a radial turbo compressor. The method includes the following steps: a) providing a hollow body that is closed in a circumferential direction and extends along an axis; b) coating the inner side of the hollow body with a corrosion-resistant layer that is more resistant to corrosion than the material of the hollow body; c) dividing the hollow body into two half-shells along the axis in a separation joint plane; d) assembling the housing by joining both half-shells and fastening both half-shells in the region of the separation joints, which were created by separation, by means of detachable fastening elements.