To find out how many hours Jen worked during the week, we can use the following formula:
\[ \text{Hours worked} = \frac{\text{Total earned}}{\text{Hourly wage}} \]
Here, Jen earned a total of $780.45 and her hourly wage is $23.65. Plugging in these values:
\[ \text{Hours worked} = \frac{780.45}{23.65} \]
Now we will perform the division:
\[ \text{Hours worked} \approx 33.00 \]
Thus, Jen worked approximately 33 hours during the week.