772820 has 24 divisors (see below), whose sum is σ = 1719144. Its totient is φ = 290816.

The previous prime is 772789. The next prime is 772843. The reversal of 772820 is 28277.

It can be written as a sum of positive squares in 4 ways, for example, as 315844 + 456976 = 562^2 + 676^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 772820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797 + ... + 1476.

It is an arithmetic number, because the mean of its divisors is an integer number (71631).

2⁷⁷²⁸²⁰ is an apocalyptic number.

It is an amenable number.

772820 is an abundant number, since it is smaller than the sum of its proper divisors (946324).

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

772820 is a wasteful number, since it uses less digits than its factorization.

772820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2297 counting only the distinct ones).

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

The square root of 772820 is about 879.1018143537. The cubic root of 772820 is about 91.7683206540.

It can be divided in two parts, 7 and 72820, that added together give a palindrome (72827).

The spelling of 772820 in words is "seven hundred seventy-two thousand, eight hundred twenty".