772828 has 18 divisors (see below), whose sum is σ = 1573656. Its totient is φ = 331128.

The previous prime is 772789. The next prime is 772843. The reversal of 772828 is 828277.

It is a junction number, because it is equal to n+sod(n) for n = 772793 and 772802.

It is a congruent number.

It is an unprimeable number.

772828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1776 + ... + 2167.

2⁷⁷²⁸²⁸ is an apocalyptic number.

It is an amenable number.

772828 is an abundant number, since it is smaller than the sum of its proper divisors (800828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

772828 is a wasteful number, since it uses less digits than its factorization.

772828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3952 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 772828 is about 879.1063644406. The cubic root of 772828 is about 91.7686373056.

It can be divided in two parts, 772 and 828, that added together give a square (1600 = 40²).

The spelling of 772828 in words is "seven hundred seventy-two thousand, eight hundred twenty-eight".