Suppose you are $30$ years old and would like to retire at age $60.$ Furthermore, you would like to have a retirement fund from which you can draw an income of $$$$75,000$ per year$$forever$!$ How much would you need to deposit each month to do$$ this? Assume a constant APR of $8\%$ and that the compounding and payment periods are the same. You can reach your goal by making monthly deposits of $$$enter your response here.

$($Do not round until the final answer. Then round to two decimal places as$$ needed.$)$