AMC 8 1986 Problem 8

In the product shown, $\text{B}$ is a digit. The value of $\text{B}$ is $$\begin{array}{rr} &\text{B}2 \\ \times& 7\text{B} \\ \hline &6396 \\ \end{array}$$ $\text{(A)}\ 3 \text{(B)}\ 5 \text{(C)}\ 6 \text{(D)}\ 7 \text{(E)}\ 8$