800888960 has 64 divisors (see below), whose sum is σ = 1925596800. Its totient is φ = 318520320.

The previous prime is 800888953. The next prime is 800888971. The reversal of 800888960 is 69888008.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111065 + ... + 118055.

It is an arithmetic number, because the mean of its divisors is an integer number (30087450).

Almost surely, 2^800888960 is an apocalyptic number.

800888960 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 800888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962798400).

800888960 is an abundant number, since it is smaller than the sum of its proper divisors (1124707840).

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

800888960 is a wasteful number, since it uses less digits than its factorization.

800888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7189 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 800888960 is about 28299.9816254357. The cubic root of 800888960 is about 928.6614883403.

The spelling of 800888960 in words is "eight hundred million, eight hundred eighty-eight thousand, nine hundred sixty".