115007680 has 56 divisors (see below), whose sum is σ = 275051520. Its totient is φ = 45803520.

The previous prime is 115007677. The next prime is 115007687. The reversal of 115007680 is 86700511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115007687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89281 + ... + 90559.

Almost surely, 2^115007680 is an apocalyptic number.

115007680 is a gapful number since it is divisible by the number (10) 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 115007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137525760).

115007680 is an abundant number, since it is smaller than the sum of its proper divisors (160043840).

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

115007680 is a wasteful number, since it uses less digits than its factorization.

115007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 115007680 is about 10724.1633706318. The cubic root of 115007680 is about 486.3052382050.

The spelling of 115007680 in words is "one hundred fifteen million, seven thousand, six hundred eighty".