8752912800 has 144 divisors (see below), whose sum is σ = 28529236512. Its totient is φ = 2330956800.

The previous prime is 8752912783. The next prime is 8752912813. The reversal of 8752912800 is 82192578.

It is a super-2 number, since 2×8752912800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2174790 + ... + 2178810.

It is an arithmetic number, because the mean of its divisors is an integer number (198119698).

Almost surely, 2^8752912800 is an apocalyptic number.

8752912800 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 8752912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264618256).

8752912800 is an abundant number, since it is smaller than the sum of its proper divisors (19776323712).

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

8752912800 is a wasteful number, since it uses less digits than its factorization.

8752912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 8752912800 is about 93557.0029447288. The cubic root of 8752912800 is about 2060.8712812948.

The spelling of 8752912800 in words is "eight billion, seven hundred fifty-two million, nine hundred twelve thousand, eight hundred".