772057 has 8 divisors (see below), whose sum is σ = 907200. Its totient is φ = 647760.

The previous prime is 772019. The next prime is 772061. The reversal of 772057 is 750277.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 772057 - 2¹⁹ = 247769 is a prime.

It is a super-2 number, since 2×772057² = 1192144022498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772097) 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 7 ways as a sum of consecutive naturals, for example, 2557 + ... + 2842.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

2⁷⁷²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

772057 is a deficient number, since it is larger than the sum of its proper divisors (135143).

772057 is a wasteful number, since it uses less digits than its factorization.

772057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423.

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 772057 is about 878.6677415269. The cubic root of 772057 is about 91.7381099605.

It can be divided in two parts, 7720 and 57, that added together give a palindrome (7777).

The spelling of 772057 in words is "seven hundred seventy-two thousand, fifty-seven".