768756064 has 48 divisors (see below), whose sum is σ = 1581769728. Its totient is φ = 367420032.

The previous prime is 768756059. The next prime is 768756103. The reversal of 768756064 is 460657867.

It is a junction number, because it is equal to n+sod(n) for n = 768755999 and 768756017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58729 + ... + 70615.

It is an arithmetic number, because the mean of its divisors is an integer number (32953536).

Almost surely, 2^768756064 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 768756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790884864).

768756064 is an abundant number, since it is smaller than the sum of its proper divisors (813013664).

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

768756064 is a wasteful number, since it uses less digits than its factorization.

768756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The square root of 768756064 is about 27726.4506203012. The cubic root of 768756064 is about 916.0718084092.

The spelling of 768756064 in words is "seven hundred sixty-eight million, seven hundred fifty-six thousand, sixty-four".