772084 has 12 divisors (see below), whose sum is σ = 1422400. Its totient is φ = 365688.

The previous prime is 772081. The next prime is 772091. The reversal of 772084 is 480277.

It is a super-2 number, since 2×772084² = 1192227406112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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

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, 5004 + ... + 5155.

2⁷⁷²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

772084 is a deficient number, since it is larger than the sum of its proper divisors (650316).

772084 is a wasteful number, since it uses less digits than its factorization.

772084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 772084 is about 878.6831055620. The cubic root of 772084 is about 91.7391793548.

The spelling of 772084 in words is "seven hundred seventy-two thousand, eighty-four".