792800 has 36 divisors (see below), whose sum is σ = 1937376. Its totient is φ = 316800.

The previous prime is 792797. The next prime is 792821. The reversal of 792800 is 8297.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 792800.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 305 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (53816).

2⁷⁹²⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968688).

792800 is an abundant number, since it is smaller than the sum of its proper divisors (1144576).

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

792800 is a wasteful number, since it uses less digits than its factorization.

792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 792800 is about 890.3931715821. The cubic root of 792800 is about 92.5524416536.

The spelling of 792800 in words is "seven hundred ninety-two thousand, eight hundred".