766906056 has 288 divisors, whose sum is σ = 2561963040. Its totient is φ = 214244352.

The previous prime is 766906051. The next prime is 766906087. The reversal of 766906056 is 650609667.

766906056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (766906051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7906200 + ... + 7906296.

It is an arithmetic number, because the mean of its divisors is an integer number (8895705).

Almost surely, 2^766906056 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 766906056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280981520).

766906056 is an abundant number, since it is smaller than the sum of its proper divisors (1795056984).

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

766906056 is a wasteful number, since it uses less digits than its factorization.

766906056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

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

The square root of 766906056 is about 27693.0687356963. The cubic root of 766906056 is about 915.3363772646.

The spelling of 766906056 in words is "seven hundred sixty-six million, nine hundred six thousand, fifty-six".