800405504 has 48 divisors (see below), whose sum is σ = 1607238360. Its totient is φ = 398499840.

The previous prime is 800405477. The next prime is 800405513. The reversal of 800405504 is 405504008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 578894 + ... + 580274.

Almost surely, 2^800405504 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 800405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803619180).

800405504 is an abundant number, since it is smaller than the sum of its proper divisors (806832856).

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

800405504 is a wasteful number, since it uses less digits than its factorization.

800405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 800405504 is about 28291.4387050217. The cubic root of 800405504 is about 928.4745887987.

The spelling of 800405504 in words is "eight hundred million, four hundred five thousand, five hundred four".