772908 has 24 divisors (see below), whose sum is σ = 1866480. Its totient is φ = 248640.

The previous prime is 772907. The next prime is 772909. The reversal of 772908 is 809277.

It is an interprime number because it is at equal distance from previous prime (772907) and next prime (772909).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772908.

It is not an unprimeable number, because it can be changed into a prime (772903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (77770).

2⁷⁷²⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

772908 is an abundant number, since it is smaller than the sum of its proper divisors (1093572).

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

772908 is a wasteful number, since it uses less digits than its factorization.

772908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 772908 is about 879.1518640144. The cubic root of 772908 is about 91.7718037013.

The spelling of 772908 in words is "seven hundred seventy-two thousand, nine hundred eight".