768748816125 has 256 divisors, whose sum is σ = 1490069468160. Its totient is φ = 395642880000.

The previous prime is 768748816111. The next prime is 768748816127. The reversal of 768748816125 is 521618847867.

It is a happy number.

768748816125 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 4 + 8 + 8 + 1 + 612 + 5 = 666.

768748816125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 768748816125 - 2¹⁵ = 768748783357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768748816127) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1199295805 + ... + 1199296445.

It is an arithmetic number, because the mean of its divisors is an integer number (5820583860).

Almost surely, 2^768748816125 is an apocalyptic number.

768748816125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

768748816125 is a deficient number, since it is larger than the sum of its proper divisors (721320652035).

768748816125 is an equidigital number, since it uses as much as digits as its factorization.

768748816125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 797 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 768748816125 in words is "seven hundred sixty-eight billion, seven hundred forty-eight million, eight hundred sixteen thousand, one hundred twenty-five".