801311872 has 64 divisors (see below), whose sum is σ = 1651739040. Its totient is φ = 386959360.

The previous prime is 801311867. The next prime is 801311873. The reversal of 801311872 is 278113108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (801311873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560823 + ... + 562249.

Almost surely, 2^801311872 is an apocalyptic number.

801311872 is a gapful number since it is divisible by the number (82) 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 801311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825869520).

801311872 is an abundant number, since it is smaller than the sum of its proper divisors (850427168).

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

801311872 is a wasteful number, since it uses less digits than its factorization.

801311872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 801311872 is about 28307.4525876137. The cubic root of 801311872 is about 928.8249204754.

The spelling of 801311872 in words is "eight hundred one million, three hundred eleven thousand, eight hundred seventy-two".