820772 has 12 divisors (see below), whose sum is σ = 1442700. Its totient is φ = 408576.

The previous prime is 820763. The next prime is 820789. The reversal of 820772 is 277028.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 206116 = 784^2 + 454^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1568 + ... + 2024.

It is an arithmetic number, because the mean of its divisors is an integer number (120225).

2⁸²⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

820772 is a deficient number, since it is larger than the sum of its proper divisors (621928).

820772 is a wasteful number, since it uses less digits than its factorization.

820772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

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

The square root of 820772 is about 905.9646792232. The cubic root of 820772 is about 93.6283803681.

It can be divided in two parts, 8 and 20772, that multiplied together give a triangular number (166176 = T₅₇₆).

The spelling of 820772 in words is "eight hundred twenty thousand, seven hundred seventy-two".