801407688 has 64 divisors (see below), whose sum is σ = 2114616000. Its totient is φ = 252398592.

The previous prime is 801407683. The next prime is 801407729. The reversal of 801407688 is 886704108.

It is not an unprimeable number, because it can be changed into a prime (801407683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 184356 + ... + 188652.

It is an arithmetic number, because the mean of its divisors is an integer number (33040875).

Almost surely, 2^801407688 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 801407688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057308000).

801407688 is an abundant number, since it is smaller than the sum of its proper divisors (1313208312).

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

801407688 is a wasteful number, since it uses less digits than its factorization.

801407688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 801407688 is about 28309.1449535305. The cubic root of 801407688 is about 928.8619400781.

The spelling of 801407688 in words is "eight hundred one million, four hundred seven thousand, six hundred eighty-eight".