115785280 has 84 divisors (see below), whose sum is σ = 298693332. Its totient is φ = 42731520.

The previous prime is 115785277. The next prime is 115785281. The reversal of 115785280 is 82587511.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 112190464 = 1896^2 + 10592^2 .

It is not an unprimeable number, because it can be changed into a prime (115785281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53010 + ... + 55150.

It is an arithmetic number, because the mean of its divisors is an integer number (3555873).

Almost surely, 2^115785280 is an apocalyptic number.

115785280 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 115785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149346666).

115785280 is an abundant number, since it is smaller than the sum of its proper divisors (182908052).

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

115785280 is a wasteful number, since it uses less digits than its factorization.

115785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 37.

The square root of 115785280 is about 10760.3568714053. The cubic root of 115785280 is about 487.3987938056.

The spelling of 115785280 in words is "one hundred fifteen million, seven hundred eighty-five thousand, two hundred eighty".