AMC 8 2017 Problem 5

What is the value of the expression $\frac{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8}{1+2+3+4+5+6+7+8}$? $\textbf{(A) }1020 \textbf{(B) }1120 \textbf{(C) }1220 \textbf{(D) }2240 \textbf{(E) }3360$