768575664 has 60 divisors (see below), whose sum is σ = 2160270216. Its totient is φ = 255081216.

The previous prime is 768575657. The next prime is 768575671. The reversal of 768575664 is 466575867.

768575664 is a `hidden beast` number, since 7 + 6 + 8 + 575 + 6 + 64 = 666.

768575664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768575657) and next prime (768575671).

It is a self number, because there is not a number n which added to its sum of digits gives 768575664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22099 + ... + 45005.

Almost surely, 2^768575664 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 768575664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080135108).

768575664 is an abundant number, since it is smaller than the sum of its proper divisors (1391694552).

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

768575664 is a wasteful number, since it uses less digits than its factorization.

768575664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23154 (or 23145 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 768575664 is about 27723.1972182142. The cubic root of 768575664 is about 916.0001461960. Note that the first 3 decimals are identical.

The spelling of 768575664 in words is "seven hundred sixty-eight million, five hundred seventy-five thousand, six hundred sixty-four".