8880408400 has 60 divisors (see below), whose sum is σ = 21370575772. Its totient is φ = 3546270720.

The previous prime is 8880408343. The next prime is 8880408401. The reversal of 8880408400 is 48040888.

It can be written as a sum of positive squares in 6 ways, for example, as 3889268496 + 4991139904 = 62364^2 + 70648^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8880408401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227092 + ... + 263308.

Almost surely, 2^8880408400 is an apocalyptic number.

8880408400 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 8880408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10685287886).

8880408400 is an abundant number, since it is smaller than the sum of its proper divisors (12490167372).

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

8880408400 is a wasteful number, since it uses less digits than its factorization.

8880408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36848 (or 36837 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8880408400 is about 94235.9188420212. The cubic root of 8880408400 is about 2070.8293564216.

The spelling of 8880408400 in words is "eight billion, eight hundred eighty million, four hundred eight thousand, four hundred".