766625972 has 72 divisors (see below), whose sum is σ = 1639564416. Its totient is φ = 312134592.

The previous prime is 766625969. The next prime is 766626023. The reversal of 766625972 is 279526667.

It is a happy number.

766625972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 766625972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779393 + ... + 780375.

It is an arithmetic number, because the mean of its divisors is an integer number (22771728).

Almost surely, 2^766625972 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 766625972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819782208).

766625972 is an abundant number, since it is smaller than the sum of its proper divisors (872938444).

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

766625972 is a wasteful number, since it uses less digits than its factorization.

766625972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1188 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 50.

The square root of 766625972 is about 27688.0113406507. The cubic root of 766625972 is about 915.2249328062.

The spelling of 766625972 in words is "seven hundred sixty-six million, six hundred twenty-five thousand, nine hundred seventy-two".