768813056 has 48 divisors (see below), whose sum is σ = 1677049920. Its totient is φ = 349450240.

The previous prime is 768813013. The next prime is 768813109. The reversal of 768813056 is 650318867.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 768812998 and 768813016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5465 + ... + 39591.

It is an arithmetic number, because the mean of its divisors is an integer number (34938540).

Almost surely, 2^768813056 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 768813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838524960).

768813056 is an abundant number, since it is smaller than the sum of its proper divisors (908236864).

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

768813056 is a wasteful number, since it uses less digits than its factorization.

768813056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34160 (or 34140 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 768813056 is about 27727.4783563165. The cubic root of 768813056 is about 916.0944456179.

The spelling of 768813056 in words is "seven hundred sixty-eight million, eight hundred thirteen thousand, fifty-six".