8157916800 has 432 divisors, whose sum is σ = 32009858790. Its totient is φ = 1976832000.

The previous prime is 8157916771. The next prime is 8157916813. The reversal of 8157916800 is 86197518.

It can be written as a sum of positive squares in 3 ways, for example, as 6568778304 + 1589138496 = 81048^2 + 39864^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3483630 + ... + 3485970.

Almost surely, 2^8157916800 is an apocalyptic number.

8157916800 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 8157916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004929395).

8157916800 is an abundant number, since it is smaller than the sum of its proper divisors (23851941990).

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

8157916800 is a wasteful number, since it uses less digits than its factorization.

8157916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 8157916800 is about 90321.1868832557. The cubic root of 8157916800 is about 2013.0740813013.

The spelling of 8157916800 in words is "eight billion, one hundred fifty-seven million, nine hundred sixteen thousand, eight hundred".