8808742800 has 720 divisors, whose sum is σ = 36569909376. Its totient is φ = 1935360000.

The previous prime is 8808742781. The next prime is 8808742801. The reversal of 8808742800 is 82478088.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8808742801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36550680 + ... + 36550920.

Almost surely, 2^8808742800 is an apocalyptic number.

8808742800 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 8808742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284954688).

8808742800 is an abundant number, since it is smaller than the sum of its proper divisors (27761166576).

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

8808742800 is a wasteful number, since it uses less digits than its factorization.

8808742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 8808742800 is about 93854.9029086920. The cubic root of 8808742800 is about 2065.2437181443.

The spelling of 8808742800 in words is "eight billion, eight hundred eight million, seven hundred forty-two thousand, eight hundred".