115356780 has 432 divisors, whose sum is σ = 470564640. Its totient is φ = 22579200.

The previous prime is 115356749. The next prime is 115356811. The reversal of 115356780 is 87653511.

115356780 is a `hidden beast` number, since 1 + 15 + 3 + 567 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (115356749) and next prime (115356811).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2813560 + ... + 2813600.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^115356780 is an apocalyptic number.

115356780 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 115356780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

115356780 is an abundant number, since it is smaller than the sum of its proper divisors (355207860).

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

115356780 is a wasteful number, since it uses less digits than its factorization.

115356780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 115356780 is about 10740.4273657988. The cubic root of 115356780 is about 486.7967928342.

The spelling of 115356780 in words is "one hundred fifteen million, three hundred fifty-six thousand, seven hundred eighty".