SASMO 2027 · Grades 4-5 · SET 002 · Self-study Question 25

The palindrome $\overline{63aba36}$ is divisible by 3. Its last three digits form a number divisible by 7. What is the largest possible value of the three-digit number $\overline{aba}$? A palindrome reads the same forwards and backwards; $a,b$ are digits and $a$ is nonzero.



Enter the numerical answer only.