The Hawking Radiation that black holes are supposed to emit (though this hasn't been directly observed yet I believe) has as black body spectrum. In that sense a black hole behaves like a 'black body', although perhaps there are other characteristics of the formal definition of a black body that a black hole does not satisfy? I'm not sure.
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fleem
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Current theory is that you CAN consider it that way. It just has a really low emissivity coefficient (which also happens to vary with its size) AND all non-rotating black holes of the same size have the same temperature, and rotating ones are hotter.
As Wallace and fleem have noted, Hawking showed that black holes radiate in (close to) black body-like fashion. Taking a black hole to be a black body and using some hand waving leads to
It's really not a good analogy. A blackbody is an entity in classical physics. A black hole is a construct of general relativity. It posseses some of the same properties, but is not of the same species.