772088 has 16 divisors (see below), whose sum is σ = 1463280. Its totient is φ = 381888.

The previous prime is 772081. The next prime is 772091. The reversal of 772088 is 880277.

It is a happy number.

It is a super-2 number, since 2×772088² = 1192239759488, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772088.

It is not an unprimeable number, because it can be changed into a prime (772081) by changing a digit.

772088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 356 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (91455).

2⁷⁷²⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

772088 is a deficient number, since it is larger than the sum of its proper divisors (691192).

772088 is a wasteful number, since it uses less digits than its factorization.

772088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 772088 is about 878.6853816924. The cubic root of 772088 is about 91.7393377815.

The spelling of 772088 in words is "seven hundred seventy-two thousand, eighty-eight".