801642888 has 192 divisors, whose sum is σ = 2441387520. Its totient is φ = 236390400.

The previous prime is 801642887. The next prime is 801642901. The reversal of 801642888 is 888246108.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (801642883) 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 47 ways as a sum of consecutive naturals, for example, 1403643 + ... + 1404213.

It is an arithmetic number, because the mean of its divisors is an integer number (12715560).

Almost surely, 2^801642888 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 801642888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220693760).

801642888 is an abundant number, since it is smaller than the sum of its proper divisors (1639744632).

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

801642888 is a wasteful number, since it uses less digits than its factorization.

801642888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 801642888 is about 28313.2987834339. The cubic root of 801642888 is about 928.9527997670.

The spelling of 801642888 in words is "eight hundred one million, six hundred forty-two thousand, eight hundred eighty-eight".