This is a hotly debated issue. Here is an excellent article espousing both sides and coming up with the answer I think is most correct. Excerpt:
“The color of a tangible object originates as a molecular coloring agent on the surface of the apple. We see the color of an object because that object reflects “a color” to the eye. Every color is the effect of a specific wavelength.
No, black is not a color; a black object absorbs all the colors of the visible spectrum and reflects none of them to the eyes. The grey area about black:
A black object may look black, but, technically, it may still be reflecting some light. For example, a black pigment results from a combination of several pigments that collectively absorb most colors. If appropriate proportions of three primary pigments are mixed, the result reflects so little light as to be called “black.” In reality, what appears to be black may be reflecting some light.
In physics, a black body is a perfect absorber of light.”