772028 has 12 divisors (see below), whose sum is σ = 1358112. Its totient is φ = 384000.

The previous prime is 772019. The next prime is 772061. The reversal of 772028 is 820277.

It is a junction number, because it is equal to n+sod(n) for n = 771988 and 772006.

It is a congruent number.

It is an unprimeable number.

772028 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, 653 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (113176).

2⁷⁷²⁰²⁸ is an apocalyptic number.

It is an amenable number.

772028 is a deficient number, since it is larger than the sum of its proper divisors (586084).

772028 is a wasteful number, since it uses less digits than its factorization.

772028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 772028 is about 878.6512391160. The cubic root of 772028 is about 91.7369613240.

The spelling of 772028 in words is "seven hundred seventy-two thousand, twenty-eight".