768860056832 has 216 divisors, whose sum is σ = 1844963832096. Its totient is φ = 318607478784.

The previous prime is 768860056823. The next prime is 768860056841. The reversal of 768860056832 is 238650068867.

It is an interprime number because it is at equal distance from previous prime (768860056823) and next prime (768860056841).

It is a super-2 number, since 2×768860056832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75647783 + ... + 75657945.

Almost surely, 2^768860056832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768860056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922481916048).

768860056832 is an abundant number, since it is smaller than the sum of its proper divisors (1076103775264).

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

768860056832 is a wasteful number, since it uses less digits than its factorization.

768860056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 768860056832 in words is "seven hundred sixty-eight billion, eight hundred sixty million, fifty-six thousand, eight hundred thirty-two".