801152640 has 256 divisors, whose sum is σ = 2881785600. Its totient is φ = 210309120.

The previous prime is 801152581. The next prime is 801152663. The reversal of 801152640 is 46251108.

801152640 is a `hidden beast` number, since 8 + 0 + 1 + 15 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 1226554 + ... + 1227206.

It is an arithmetic number, because the mean of its divisors is an integer number (11256975).

Almost surely, 2^801152640 is an apocalyptic number.

801152640 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 801152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440892800).

801152640 is an abundant number, since it is smaller than the sum of its proper divisors (2080632960).

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

801152640 is a wasteful number, since it uses less digits than its factorization.

801152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 801152640 is about 28304.6399023199. The cubic root of 801152640 is about 928.7633928511.

The spelling of 801152640 in words is "eight hundred one million, one hundred fifty-two thousand, six hundred forty".