115767680 has 64 divisors (see below), whose sum is σ = 316306080. Its totient is φ = 39690240.

The previous prime is 115767611. The next prime is 115767689. The reversal of 115767680 is 86767511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115767689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8441 + ... + 17400.

Almost surely, 2^115767680 is an apocalyptic number.

115767680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115767680 is an abundant number, since it is smaller than the sum of its proper divisors (200538400).

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

115767680 is an equidigital number, since it uses as much as digits as its factorization.

115767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25867 (or 25855 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 115767680 is about 10759.5390235827. The cubic root of 115767680 is about 487.3740967876.

It can be divided in two parts, 11 and 5767680, that multiplied together give a triangular number (63444480 = T₁₁₂₆₄).

The spelling of 115767680 in words is "one hundred fifteen million, seven hundred sixty-seven thousand, six hundred eighty".