How many phytochemical and antioxydant are there ?

I know there are 13 vitamins and 16 dietary minerals but it seems that phyto and antioxydant are WAY more numerous ... Is there a reliable list / or a number by an official organism like the IOM or the USDA ? I read there are at least 900 phyto (hence the fact that all those dietary supplements still can't beat the real deal )