804384000 has 864 divisors, whose sum is σ = 3635049600. Its totient is φ = 174182400.

The previous prime is 804383999. The next prime is 804384011. The reversal of 804384000 is 483408.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42335991 + ... + 42336009.

Almost surely, 2^804384000 is an apocalyptic number.

804384000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817524800).

804384000 is an abundant number, since it is smaller than the sum of its proper divisors (2830665600).

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

804384000 is a wasteful number, since it uses less digits than its factorization.

804384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 804384000 is about 28361.6642671053. The cubic root of 804384000 is about 930.0104057108.

The spelling of 804384000 in words is "eight hundred four million, three hundred eighty-four thousand".