8115787680 has 1152 divisors, whose sum is σ = 37066014720. Its totient is φ = 1463132160.

The previous prime is 8115787679. The next prime is 8115787697. The reversal of 8115787680 is 867875118.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63903777 + ... + 63903903.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 2^8115787680 is an apocalyptic number.

8115787680 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 8115787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

8115787680 is an abundant number, since it is smaller than the sum of its proper divisors (28950227040).

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

8115787680 is a wasteful number, since it uses less digits than its factorization.

8115787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 51.

The square root of 8115787680 is about 90087.6666364492. Note that the first 4 decimals coincide. The cubic root of 8115787680 is about 2009.6027927269.

The spelling of 8115787680 in words is "eight billion, one hundred fifteen million, seven hundred eighty-seven thousand, six hundred eighty".