114780600 has 432 divisors, whose sum is σ = 463095360. Its totient is φ = 25344000.

The previous prime is 114780599. The next prime is 114780619. The reversal of 114780600 is 6087411.

It is a happy number.

114780600 is a `hidden beast` number, since 11 + 47 + 8 + 0 + 600 = 666.

It is a super-2 number, since 2×114780600² = 26349172272720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3702585 + ... + 3702615.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^114780600 is an apocalyptic number.

114780600 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 114780600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

114780600 is an abundant number, since it is smaller than the sum of its proper divisors (348314760).

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

114780600 is a wasteful number, since it uses less digits than its factorization.

114780600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114780600 is about 10713.5708332936. The cubic root of 114780600 is about 485.9849611767.

The spelling of 114780600 in words is "one hundred fourteen million, seven hundred eighty thousand, six hundred".