8115408000 has 768 divisors, whose sum is σ = 34056771840. Its totient is φ = 1813708800.

The previous prime is 8115407983. The next prime is 8115408001. The reversal of 8115408000 is 8045118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8115408001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83663952 + ... + 83664048.

It is an arithmetic number, because the mean of its divisors is an integer number (44344755).

Almost surely, 2^8115408000 is an apocalyptic number.

8115408000 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 8115408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028385920).

8115408000 is an abundant number, since it is smaller than the sum of its proper divisors (25941363840).

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

8115408000 is a wasteful number, since it uses less digits than its factorization.

8115408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 8115408000 is about 90085.5593311159. The cubic root of 8115408000 is about 2009.5714538962.

The spelling of 8115408000 in words is "eight billion, one hundred fifteen million, four hundred eight thousand".