8291788800 has 288 divisors, whose sum is σ = 28171634400. Its totient is φ = 2149908480.

The previous prime is 8291788789. The next prime is 8291788801. The reversal of 8291788800 is 88871928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8291788801) 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, 5682471 + ... + 5683929.

It is an arithmetic number, because the mean of its divisors is an integer number (97818175).

Almost surely, 2^8291788800 is an apocalyptic number.

8291788800 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 8291788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085817200).

8291788800 is an abundant number, since it is smaller than the sum of its proper divisors (19879845600).

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

8291788800 is a wasteful number, since it uses less digits than its factorization.

8291788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The square root of 8291788800 is about 91059.2598256762. The cubic root of 8291788800 is about 2024.0259543506.

The spelling of 8291788800 in words is "eight billion, two hundred ninety-one million, seven hundred eighty-eight thousand, eight hundred".