8408800000 has 216 divisors, whose sum is σ = 21939658272. Its totient is φ = 3210240000.

The previous prime is 8408799953. The next prime is 8408800007. The reversal of 8408800000 is 88048.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8408800007) 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, 18399772 + ... + 18400228.

It is an arithmetic number, because the mean of its divisors is an integer number (101572492).

Almost surely, 2^8408800000 is an apocalyptic number.

8408800000 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 8408800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10969829136).

8408800000 is an abundant number, since it is smaller than the sum of its proper divisors (13530858272).

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

8408800000 is an frugal number, since it uses more digits than its factorization.

8408800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 8408800000 is about 91699.5092680435. The cubic root of 8408800000 is about 2033.5023300070.

Adding to 8408800000 its reverse (88048), we get a palindrome (8408888048).

The spelling of 8408800000 in words is "eight billion, four hundred eight million, eight hundred thousand".