768893506920 has 192 divisors, whose sum is σ = 3115516659840. Its totient is φ = 159770073600.

The previous prime is 768893506907. The next prime is 768893506937. The reversal of 768893506920 is 29605398867.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13841211 + ... + 13896650.

It is an arithmetic number, because the mean of its divisors is an integer number (16226649270).

Almost surely, 2^768893506920 is an apocalyptic number.

768893506920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768893506920 is an abundant number, since it is smaller than the sum of its proper divisors (2346623152920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

768893506920 is a wasteful number, since it uses less digits than its factorization.

768893506920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27737896 (or 27737889 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 768893506920 in words is "seven hundred sixty-eight billion, eight hundred ninety-three million, five hundred six thousand, nine hundred twenty".