117607680 has 288 divisors, whose sum is σ = 432673920. Its totient is φ = 30228480.

The previous prime is 117607667. The next prime is 117607697. The reversal of 117607680 is 86706711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416919 + ... + 1417001.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 2^117607680 is an apocalyptic number.

117607680 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 117607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216336960).

117607680 is an abundant number, since it is smaller than the sum of its proper divisors (315066240).

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

117607680 is an equidigital number, since it uses as much as digits as its factorization.

117607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 117607680 is about 10844.7074649342. The cubic root of 117607680 is about 489.9426282961.

The spelling of 117607680 in words is "one hundred seventeen million, six hundred seven thousand, six hundred eighty".