115764480 has 216 divisors, whose sum is σ = 431901288. Its totient is φ = 28459008.

The previous prime is 115764479. The next prime is 115764487. The reversal of 115764480 is 84467511.

It is a happy number.

115764480 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 113550336 = 1488^2 + 10656^2 .

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 (115764487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149374 + ... + 150146.

It is an arithmetic number, because the mean of its divisors is an integer number (1999543).

Almost surely, 2^115764480 is an apocalyptic number.

115764480 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 115764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215950644).

115764480 is an abundant number, since it is smaller than the sum of its proper divisors (316136808).

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

115764480 is a wasteful number, since it uses less digits than its factorization.

115764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 115764480 is about 10759.3903172996. The cubic root of 115764480 is about 487.3696061517.

The spelling of 115764480 in words is "one hundred fifteen million, seven hundred sixty-four thousand, four hundred eighty".