8400008880 has 80 divisors (see below), whose sum is σ = 28933371360. Its totient is φ = 2240001792.

The previous prime is 8400008861. The next prime is 8400008893. The reversal of 8400008880 is 888000048.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

8400008880 is a modest number, since divided by 8880 gives 8400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1942287 + ... + 1946606.

It is an arithmetic number, because the mean of its divisors is an integer number (361667142).

Almost surely, 2^8400008880 is an apocalyptic number.

8400008880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8400008880 is an abundant number, since it is smaller than the sum of its proper divisors (20533362480).

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

8400008880 is a wasteful number, since it uses less digits than its factorization.

8400008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888915 (or 3888903 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8400008880 is about 91651.5623434756. The cubic root of 8400008880 is about 2032.7934299469.

The spelling of 8400008880 in words is "eight billion, four hundred million, eight thousand, eight hundred eighty".