804032000 has 160 divisors (see below), whose sum is σ = 2125712160. Its totient is φ = 302284800.

The previous prime is 804031993. The next prime is 804032003. The reversal of 804032000 is 230408.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 804032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804032003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087631 + ... + 1088369.

It is an arithmetic number, because the mean of its divisors is an integer number (13285701).

Almost surely, 2^804032000 is an apocalyptic number.

804032000 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 804032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062856080).

804032000 is an abundant number, since it is smaller than the sum of its proper divisors (1321680160).

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

804032000 is an equidigital number, since it uses as much as digits as its factorization.

804032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 804032000 is about 28355.4580283938. The cubic root of 804032000 is about 929.8747277983.

Adding to 804032000 its reverse (230408), we get a palindrome (804262408).

The spelling of 804032000 in words is "eight hundred four million, thirty-two thousand".