8115978240 has 276 divisors, whose sum is σ = 28789699224. Its totient is φ = 2113929216.

The previous prime is 8115978239. The next prime is 8115978257. The reversal of 8115978240 is 428795118.

8115978240 is a `hidden beast` number, since 8 + 11 + 597 + 8 + 2 + 40 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188743659 + ... + 188743701.

Almost surely, 2^8115978240 is an apocalyptic number.

8115978240 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 8115978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394849612).

8115978240 is an abundant number, since it is smaller than the sum of its proper divisors (20673720984).

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

8115978240 is an frugal number, since it uses more digits than its factorization.

8115978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8115978240 is about 90088.7242666917. The cubic root of 8115978240 is about 2009.6185212027.

The spelling of 8115978240 in words is "eight billion, one hundred fifteen million, nine hundred seventy-eight thousand, two hundred forty".