8799436800 has 1080 divisors, whose sum is σ = 40566070272. Its totient is φ = 1769472000.

The previous prime is 8799436787. The next prime is 8799436801. The reversal of 8799436800 is 86349978.

It is not an unprimeable number, because it can be changed into a prime (8799436801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283852785 + ... + 283852815.

Almost surely, 2^8799436800 is an apocalyptic number.

8799436800 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 8799436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283035136).

8799436800 is an abundant number, since it is smaller than the sum of its proper divisors (31766633472).

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

8799436800 is a wasteful number, since it uses less digits than its factorization.

8799436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8799436800 is about 93805.3132823509. The cubic root of 8799436800 is about 2064.5161860215.

The spelling of 8799436800 in words is "eight billion, seven hundred ninety-nine million, four hundred thirty-six thousand, eight hundred".