772004 has 12 divisors (see below), whose sum is σ = 1430604. Its totient is φ = 363264.

The previous prime is 772003. The next prime is 772019. The reversal of 772004 is 400277.

It can be written as a sum of positive squares in 2 ways, for example, as 409600 + 362404 = 640^2 + 602^2 .

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 3 ways as a sum of consecutive naturals, for example, 5609 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (119217).

2⁷⁷²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

772004 is a deficient number, since it is larger than the sum of its proper divisors (658600).

772004 is a wasteful number, since it uses less digits than its factorization.

772004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 772004 is about 878.6375817139. The cubic root of 772004 is about 91.7360107066.

The spelling of 772004 in words is "seven hundred seventy-two thousand, four", and thus it is an iban number.