117779200 has 216 divisors, whose sum is σ = 364976640. Its totient is φ = 36556800.

The previous prime is 117779191. The next prime is 117779201. The reversal of 117779200 is 2977711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117779201) 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, 492681 + ... + 492919.

Almost surely, 2^117779200 is an apocalyptic number.

117779200 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 117779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

117779200 is an abundant number, since it is smaller than the sum of its proper divisors (247197440).

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

117779200 is a wasteful number, since it uses less digits than its factorization.

117779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 34.

The square root of 117779200 is about 10852.6125886811. The cubic root of 117779200 is about 490.1806913779.

The spelling of 117779200 in words is "one hundred seventeen million, seven hundred seventy-nine thousand, two hundred".