Trying Sumproduct with multiple criteria 1) greater than, or 2) partial text

Are you saying you want to count (A>625)+(B begins with ca)+(c begins with ca)
Regardless if those 3 creteria occur on the same row??

then it's
=COUNTIF(A:A,">625")+COUNTIF(B:B,"ca*")+COUNTIF(C:C,"ca*")