115479760 has 80 divisors (see below), whose sum is σ = 294570432. Its totient is φ = 41753600.

The previous prime is 115479737. The next prime is 115479773. The reversal of 115479760 is 67974511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247047 + ... + 247513.

Almost surely, 2^115479760 is an apocalyptic number.

115479760 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 115479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147285216).

115479760 is an abundant number, since it is smaller than the sum of its proper divisors (179090672).

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

115479760 is a wasteful number, since it uses less digits than its factorization.

115479760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 115479760 is about 10746.1509388246. The cubic root of 115479760 is about 486.9697201299.

The spelling of 115479760 in words is "one hundred fifteen million, four hundred seventy-nine thousand, seven hundred sixty".