7808

7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61.

7808 is the number of 4 x 4 sliding-block puzzle positions that require exactly 12 moves to solve starting with the hole in a corner (A089484).

7808 is 101201012 in base 3 (A043589). Reversing the base-3 representation of 7808 produces twice the original number (A173951).

7808 is the sum of two positive fifth powers (A003347). It is the sum of the fifth powers of the digits of 26 (A055014).

7808 has a representation as a sum of two squares: 7808 = 8² + 88².

7808 divides 33²⁰ - 1.

Source: What's Special About This Number?