801405008 has 40 divisors (see below), whose sum is σ = 1628068416. Its totient is φ = 381427200.

The previous prime is 801404999. The next prime is 801405029. The reversal of 801405008 is 800504108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72488 + ... + 82808.

Almost surely, 2^801405008 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 801405008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814034208).

801405008 is an abundant number, since it is smaller than the sum of its proper divisors (826663408).

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

801405008 is a wasteful number, since it uses less digits than its factorization.

801405008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 801405008 is about 28309.0976189634. The cubic root of 801405008 is about 928.8609046697.

The spelling of 801405008 in words is "eight hundred one million, four hundred five thousand, eight".