766846864 has 135 divisors (see below), whose sum is σ = 1849746843. Its totient is φ = 307048896.

The previous prime is 766846853. The next prime is 766846909. The reversal of 766846864 is 468648667.

The square root of 766846864 is 27692.

It is a perfect power (a square), and thus also a powerful number.

766846864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×766846864² = 1176108225653268992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17833627 + ... + 17833669.

Almost surely, 2^766846864 is an apocalyptic number.

766846864 is the 27692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766846864

766846864 is an abundant number, since it is smaller than the sum of its proper divisors (1082899979).

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

766846864 is a wasteful number, since it uses less digits than its factorization.

766846864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 75 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The cubic root of 766846864 is about 915.3128272333.

The spelling of 766846864 in words is "seven hundred sixty-six million, eight hundred forty-six thousand, eight hundred sixty-four".