820792 has 16 divisors (see below), whose sum is σ = 1758960. Its totient is φ = 351744.

The previous prime is 820789. The next prime is 820793. The reversal of 820792 is 297028.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 820792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7273 + ... + 7384.

It is an arithmetic number, because the mean of its divisors is an integer number (109935).

2⁸²⁰⁷⁹² is an apocalyptic number.

It is an amenable number.

820792 is an abundant number, since it is smaller than the sum of its proper divisors (938168).

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

820792 is a wasteful number, since it uses less digits than its factorization.

820792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14670 (or 14666 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 820792 is about 905.9757171139. The cubic root of 820792 is about 93.6291408523.

The spelling of 820792 in words is "eight hundred twenty thousand, seven hundred ninety-two".