A hearing device is provided with a microphone array having a plurality of microphones. The signals from the microphones can then be processed by an appropriate apparatus of the hearing device such that this results in a directivity of the microphone array. The apparatus must also be able to allow an omnidirectional directivity of the microphone array, i.e. a non-directional detection of sound. This is not always ensured in the case where one of the microphones in the microphone array is covered or aligned other than what is intended. An omnidirectional directivity of the microphone array is ensured in a hearing device of the invention. Here, the microphones are, for this purpose, connected to inputs of the apparatus via a coupling device, by way of which each of the microphones can be coupled to a plurality of inputs of the apparatus at the same time.