801408520 has 64 divisors (see below), whose sum is σ = 1970101440. Its totient is φ = 290976000.

The previous prime is 801408511. The next prime is 801408547. The reversal of 801408520 is 25804108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461574 + ... + 463306.

It is an arithmetic number, because the mean of its divisors is an integer number (30782835).

Almost surely, 2^801408520 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 801408520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985050720).

801408520 is an abundant number, since it is smaller than the sum of its proper divisors (1168692920).

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

801408520 is a wasteful number, since it uses less digits than its factorization.

801408520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 801408520 is about 28309.1596484247. The cubic root of 801408520 is about 928.8622615179.

The spelling of 801408520 in words is "eight hundred one million, four hundred eight thousand, five hundred twenty".