800880800 has 72 divisors (see below), whose sum is σ = 1959062112. Its totient is φ = 319712000.

The previous prime is 800880797. The next prime is 800880869. The reversal of 800880800 is 8088008.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776285 + ... + 777315.

It is an arithmetic number, because the mean of its divisors is an integer number (27209196).

Almost surely, 2^800880800 is an apocalyptic number.

800880800 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 800880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979531056).

800880800 is an abundant number, since it is smaller than the sum of its proper divisors (1158181312).

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

800880800 is a wasteful number, since it uses less digits than its factorization.

800880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 800880800 is about 28299.8374553636. The cubic root of 800880800 is about 928.6583343852.

The spelling of 800880800 in words is "eight hundred million, eight hundred eighty thousand, eight hundred".