117286800 has 120 divisors (see below), whose sum is σ = 384615264. Its totient is φ = 30535680.

The previous prime is 117286769. The next prime is 117286801. The reversal of 117286800 is 8682711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (117286801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50464 + ... + 52736.

Almost surely, 2^117286800 is an apocalyptic number.

117286800 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 117286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192307632).

117286800 is an abundant number, since it is smaller than the sum of its proper divisors (267328464).

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

117286800 is a wasteful number, since it uses less digits than its factorization.

117286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 117286800 is about 10829.9030466574. The cubic root of 117286800 is about 489.4966370504.

It can be divided in two parts, 11728 and 6800, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 117286800 in words is "one hundred seventeen million, two hundred eighty-six thousand, eight hundred".