8000880800 has 144 divisors (see below), whose sum is σ = 21395005632. Its totient is φ = 2897510400.

The previous prime is 8000880787. The next prime is 8000880803. The reversal of 8000880800 is 80880008.

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

It is not an unprimeable number, because it can be changed into a prime (8000880803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2312672 + ... + 2316128.

It is an arithmetic number, because the mean of its divisors is an integer number (148576428).

Almost surely, 2^8000880800 is an apocalyptic number.

8000880800 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 8000880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697502816).

8000880800 is an abundant number, since it is smaller than the sum of its proper divisors (13394124832).

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

8000880800 is a wasteful number, since it uses less digits than its factorization.

8000880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3738 counting only the distinct ones).

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

The square root of 8000880800 is about 89447.6427861573. The cubic root of 8000880800 is about 2000.0733973064.

The spelling of 8000880800 in words is "eight billion, eight hundred eighty thousand, eight hundred".