8488804800 has 336 divisors, whose sum is σ = 33506704640. Its totient is φ = 1838039040.

The previous prime is 8488804799. The next prime is 8488804811. The reversal of 8488804800 is 84088848.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8488804800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631752 + ... + 645048.

Almost surely, 2^8488804800 is an apocalyptic number.

8488804800 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 8488804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753352320).

8488804800 is an abundant number, since it is smaller than the sum of its proper divisors (25017899840).

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

8488804800 is a wasteful number, since it uses less digits than its factorization.

8488804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 8488804800 is about 92134.7100717205. The cubic root of 8488804800 is about 2039.9311779935.

The spelling of 8488804800 in words is "eight billion, four hundred eighty-eight million, eight hundred four thousand, eight hundred".