8797248000 has 400 divisors, whose sum is σ = 32788631304. Its totient is φ = 2344550400.

The previous prime is 8797247999. The next prime is 8797248013. The reversal of 8797248000 is 8427978.

8797248000 is a `hidden beast` number, since 87 + 97 + 2 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5121978624 + 3675269376 = 71568^2 + 60624^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183152 + ... + 5184848.

Almost surely, 2^8797248000 is an apocalyptic number.

8797248000 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 8797248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394315652).

8797248000 is an abundant number, since it is smaller than the sum of its proper divisors (23991383304).

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

8797248000 is an equidigital number, since it uses as much as digits as its factorization.

8797248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 8797248000 is about 93793.6458402167. The cubic root of 8797248000 is about 2064.3449937109.

The spelling of 8797248000 in words is "eight billion, seven hundred ninety-seven million, two hundred forty-eight thousand".