766900656 has 80 divisors (see below), whose sum is σ = 2214997120. Its totient is φ = 254041920.

The previous prime is 766900643. The next prime is 766900681. The reversal of 766900656 is 656009667.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64971 + ... + 75861.

It is an arithmetic number, because the mean of its divisors is an integer number (27687464).

Almost surely, 2^766900656 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 766900656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107498560).

766900656 is an abundant number, since it is smaller than the sum of its proper divisors (1448096464).

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

766900656 is a wasteful number, since it uses less digits than its factorization.

766900656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11071 (or 11059 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 766900656 is about 27692.9712382041. The cubic root of 766900656 is about 915.3342288798.

The spelling of 766900656 in words is "seven hundred sixty-six million, nine hundred thousand, six hundred fifty-six".