114760800 has 720 divisors, whose sum is σ = 544465152. Its totient is φ = 22809600.

The previous prime is 114760787. The next prime is 114760813. The reversal of 114760800 is 8067411.

It is a happy number.

114760800 is a `hidden beast` number, since 11 + 47 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114760787) and next prime (114760813).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 4989589 + ... + 4989611.

Almost surely, 2^114760800 is an apocalyptic number.

114760800 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 114760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576).

114760800 is an abundant number, since it is smaller than the sum of its proper divisors (429704352).

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

114760800 is a wasteful number, since it uses less digits than its factorization.

114760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

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

The square root of 114760800 is about 10712.6467317839. The cubic root of 114760800 is about 485.9570149454.

The spelling of 114760800 in words is "one hundred fourteen million, seven hundred sixty thousand, eight hundred".