8088400800 has 648 divisors, whose sum is σ = 31366179936. Its totient is φ = 2032335360.

The previous prime is 8088400729. The next prime is 8088400819. The reversal of 8088400800 is 80048808.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 120722367 + ... + 120722433.

Almost surely, 2^8088400800 is an apocalyptic number.

8088400800 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 8088400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683089968).

8088400800 is an abundant number, since it is smaller than the sum of its proper divisors (23277779136).

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

8088400800 is an equidigital number, since it uses as much as digits as its factorization.

8088400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

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

The square root of 8088400800 is about 89935.5369139474. The cubic root of 8088400800 is about 2007.3397643125.

The spelling of 8088400800 in words is "eight billion, eighty-eight million, four hundred thousand, eight hundred".