117837720 has 512 divisors, whose sum is σ = 532224000. Its totient is φ = 22394880.

The previous prime is 117837703. The next prime is 117837751. The reversal of 117837720 is 27738711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081026 + ... + 1081134.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^117837720 is an apocalyptic number.

117837720 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 117837720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

117837720 is an abundant number, since it is smaller than the sum of its proper divisors (414386280).

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

117837720 is a wasteful number, since it uses less digits than its factorization.

117837720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 117837720 is about 10855.3083788532. The cubic root of 117837720 is about 490.2618619765.

Subtracting from 117837720 its reverse (27738711), we obtain a palindrome (90099009).

It can be divided in two parts, 11783 and 7720, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 117837720 in words is "one hundred seventeen million, eight hundred thirty-seven thousand, seven hundred twenty".