8157900576 has 96 divisors (see below), whose sum is σ = 24581975040. Its totient is φ = 2320517376.

The previous prime is 8157900557. The next prime is 8157900581. The reversal of 8157900576 is 6750097518.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8157900576² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 125805 + ... + 179283.

It is an arithmetic number, because the mean of its divisors is an integer number (256062240).

Almost surely, 2^8157900576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8157900576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290987520).

8157900576 is an abundant number, since it is smaller than the sum of its proper divisors (16424074464).

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

8157900576 is a wasteful number, since it uses less digits than its factorization.

8157900576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53726 (or 53718 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The square root of 8157900576 is about 90321.0970703966. The cubic root of 8157900576 is about 2013.0727468047.

The spelling of 8157900576 in words is "eight billion, one hundred fifty-seven million, nine hundred thousand, five hundred seventy-six".