117778800 has 120 divisors (see below), whose sum is σ = 383708080. Its totient is φ = 30873600.

The previous prime is 117778789. The next prime is 117778819. The reversal of 117778800 is 8877711.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72396 + ... + 74004.

Almost surely, 2^117778800 is an apocalyptic number.

117778800 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 117778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191854040).

117778800 is an abundant number, since it is smaller than the sum of its proper divisors (265929280).

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

117778800 is a wasteful number, since it uses less digits than its factorization.

117778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 39.

The square root of 117778800 is about 10852.5941599232. The cubic root of 117778800 is about 490.1801364625.

The spelling of 117778800 in words is "one hundred seventeen million, seven hundred seventy-eight thousand, eight hundred".