At the end of $\frac{10}{2018},$ Mike took out a $30-$ year loan of $$800,000$ with monthly payment. The loan has an annual rate of $7\%.$ If$,$ at the end of $\frac{5}{2024},$ instantly after the monthly payment, she prepaid $$50,000.$ How much interest she can save on $\frac{7}{2024}$ compared to if she did not prepay the $$50,000?$ Prepayment only reduces the loan balance on a loan but does not affect the monthly payment amount.

$$268\mathrm{.}67$

$$2993$

$$239$

$$180\mathrm{.}78$