118782720 has 288 divisors, whose sum is σ = 482711040. Its totient is φ = 27095040.

The previous prime is 118782707. The next prime is 118782721. The reversal of 118782720 is 27287811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (118782721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 241675 + ... + 242165.

It is an arithmetic number, because the mean of its divisors is an integer number (1676080).

Almost surely, 2^118782720 is an apocalyptic number.

118782720 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 118782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241355520).

118782720 is an abundant number, since it is smaller than the sum of its proper divisors (363928320).

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

118782720 is an equidigital number, since it uses as much as digits as its factorization.

118782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 118782720 is about 10898.7485520127. The cubic root of 118782720 is about 491.5689264041.

The spelling of 118782720 in words is "one hundred eighteen million, seven hundred eighty-two thousand, seven hundred twenty".