800404000 has 96 divisors (see below), whose sum is σ = 2145491712. Its totient is φ = 291040000.

The previous prime is 800403941. The next prime is 800404001. The reversal of 800404000 is 404008.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (800404001) 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, 34905 + ... + 53095.

It is an arithmetic number, because the mean of its divisors is an integer number (22348872).

Almost surely, 2^800404000 is an apocalyptic number.

800404000 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 800404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072745856).

800404000 is an abundant number, since it is smaller than the sum of its proper divisors (1345087712).

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

800404000 is a wasteful number, since it uses less digits than its factorization.

800404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18227 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 800404000 is about 28291.4121245299. The cubic root of 800404000 is about 928.4740072491.

Adding to 800404000 its reverse (404008), we get a palindrome (800808008).

The spelling of 800404000 in words is "eight hundred million, four hundred four thousand".