768838656 has 88 divisors (see below), whose sum is σ = 2069271360. Its totient is φ = 253775872.

The previous prime is 768838649. The next prime is 768838669. The reversal of 768838656 is 656838867.

It is a happy number.

It is a super-2 number, since 2×768838656² = 1182225757919772672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 768838596 and 768838605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327535 + ... + 329873.

Almost surely, 2^768838656 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 768838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034635680).

768838656 is an abundant number, since it is smaller than the sum of its proper divisors (1300432704).

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

768838656 is a wasteful number, since it uses less digits than its factorization.

768838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2451 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 768838656 is about 27727.9399883944. The cubic root of 768838656 is about 916.1046135676.

The spelling of 768838656 in words is "seven hundred sixty-eight million, eight hundred thirty-eight thousand, six hundred fifty-six".