117742800 has 240 divisors, whose sum is σ = 438400512. Its totient is φ = 26457600.

The previous prime is 117742783. The next prime is 117742811. The reversal of 117742800 is 8247711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 898735 + ... + 898865.

Almost surely, 2^117742800 is an apocalyptic number.

117742800 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 117742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219200256).

117742800 is an abundant number, since it is smaller than the sum of its proper divisors (320657712).

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

117742800 is a wasteful number, since it uses less digits than its factorization.

117742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 117742800 is about 10850.9354435459. The cubic root of 117742800 is about 490.1301889248.

The spelling of 117742800 in words is "one hundred seventeen million, seven hundred forty-two thousand, eight hundred".