8798025600 has 960 divisors, whose sum is σ = 40066081440. Its totient is φ = 1851310080.

The previous prime is 8798025559. The next prime is 8798025641. The reversal of 8798025600 is 65208978.

8798025600 is a `hidden beast` number, since 8 + 7 + 9 + 80 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8798025559) and next prime (8798025641).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23587014 + ... + 23587386.

Almost surely, 2^8798025600 is an apocalyptic number.

8798025600 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 8798025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20033040720).

8798025600 is an abundant number, since it is smaller than the sum of its proper divisors (31268055840).

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

8798025600 is a wasteful number, since it uses less digits than its factorization.

8798025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8798025600 is about 93797.7910187655. The cubic root of 8798025600 is about 2064.4058152834.

The spelling of 8798025600 in words is "eight billion, seven hundred ninety-eight million, twenty-five thousand, six hundred".