117333800 has 72 divisors (see below), whose sum is σ = 280418250. Its totient is φ = 45657600.

The previous prime is 117333767. The next prime is 117333823. The reversal of 117333800 is 8333711.

It can be written as a sum of positive squares in 9 ways, for example, as 4251844 + 113081956 = 2062^2 + 10634^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117333800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336026 + ... + 336374.

Almost surely, 2^117333800 is an apocalyptic number.

117333800 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 117333800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140209125).

117333800 is an abundant number, since it is smaller than the sum of its proper divisors (163084450).

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

117333800 is a wasteful number, since it uses less digits than its factorization.

117333800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 117333800 is about 10832.0727471708. The cubic root of 117333800 is about 489.5620131755.

The spelling of 117333800 in words is "one hundred seventeen million, three hundred thirty-three thousand, eight hundred".