804992 has 32 divisors (see below), whose sum is σ = 1693200. Its totient is φ = 380160.

The previous prime is 804989. The next prime is 804997. The reversal of 804992 is 299408.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 804992.

It is not an unprimeable number, because it can be changed into a prime (804997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2267 + ... + 2597.

2⁸⁰⁴⁹⁹² 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 804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846600).

804992 is an abundant number, since it is smaller than the sum of its proper divisors (888208).

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

804992 is a wasteful number, since it uses less digits than its factorization.

804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 804992 is about 897.2134640095. The cubic root of 804992 is about 93.0244665269.

The spelling of 804992 in words is "eight hundred four thousand, nine hundred ninety-two".