8754868800 has 420 divisors, whose sum is σ = 32950044336. Its totient is φ = 2278886400.

The previous prime is 8754868799. The next prime is 8754868807. The reversal of 8754868800 is 88684578.

8754868800 is a `hidden beast` number, since 87 + 5 + 486 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8754868807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5572015 + ... + 5573585.

Almost surely, 2^8754868800 is an apocalyptic number.

8754868800 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 8754868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475022168).

8754868800 is an abundant number, since it is smaller than the sum of its proper divisors (24195175536).

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

8754868800 is a wasteful number, since it uses less digits than its factorization.

8754868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 8754868800 is about 93567.4558807709. The cubic root of 8754868800 is about 2061.0247831094.

The spelling of 8754868800 in words is "eight billion, seven hundred fifty-four million, eight hundred sixty-eight thousand, eight hundred".