772008 has 32 divisors (see below), whose sum is σ = 2032800. Its totient is φ = 243648.

The previous prime is 772003. The next prime is 772019. The reversal of 772008 is 800277.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (772001) 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, 391 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (63525).

2⁷⁷²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

772008 is an abundant number, since it is smaller than the sum of its proper divisors (1260792).

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

772008 is a wasteful number, since it uses less digits than its factorization.

772008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 772008 is about 878.6398579623. The cubic root of 772008 is about 91.7361691442.

The spelling of 772008 in words is "seven hundred seventy-two thousand, eight".