115577280 has 560 divisors, whose sum is σ = 516331200. Its totient is φ = 24385536.

The previous prime is 115577261. The next prime is 115577281. The reversal of 115577280 is 82775511.

115577280 is a `hidden beast` number, since 1 + 1 + 5 + 577 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115577281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8890554 + ... + 8890566.

It is an arithmetic number, because the mean of its divisors is an integer number (922020).

Almost surely, 2^115577280 is an apocalyptic number.

115577280 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 115577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258165600).

115577280 is an abundant number, since it is smaller than the sum of its proper divisors (400753920).

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

115577280 is an equidigital number, since it uses as much as digits as its factorization.

115577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 115577280 is about 10750.6874198816. The cubic root of 115577280 is about 487.1067598025.

The spelling of 115577280 in words is "one hundred fifteen million, five hundred seventy-seven thousand, two hundred eighty".