Carry out the following calculation, paying special attention to significant figures, rounding, and units:
$$ \frac{(7.82 \times 10^5 \text{ g})(44.7 \frac{\text{m}}{\text{s}})}{2} = \square \text{ g} \cdot \frac{\text{m}}{\text{s}} $$
(The term 2 is exact.)