804892032 has 320 divisors, whose sum is σ = 2799879600. Its totient is φ = 227598336.

The previous prime is 804892031. The next prime is 804892073. The reversal of 804892032 is 230298408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804892031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8297808 + ... + 8297904.

Almost surely, 2^804892032 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 804892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399939800).

804892032 is an abundant number, since it is smaller than the sum of its proper divisors (1994987568).

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

804892032 is an frugal number, since it uses more digits than its factorization.

804892032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 804892032 is about 28370.6191684285. The cubic root of 804892032 is about 930.2061561704.

The spelling of 804892032 in words is "eight hundred four million, eight hundred ninety-two thousand, thirty-two".