117780768 has 144 divisors (see below), whose sum is σ = 393382080. Its totient is φ = 32721408.

The previous prime is 117780757. The next prime is 117780779. The reversal of 117780768 is 867087711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117780757) and next prime (117780779).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73803 + ... + 75381.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 2^117780768 is an apocalyptic number.

117780768 is a gapful number since it is divisible by the number (18) 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 117780768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196691040).

117780768 is an abundant number, since it is smaller than the sum of its proper divisors (275601312).

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

117780768 is a wasteful number, since it uses less digits than its factorization.

117780768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The square root of 117780768 is about 10852.6848291103. The cubic root of 117780768 is about 490.1828666344.

The spelling of 117780768 in words is "one hundred seventeen million, seven hundred eighty thousand, seven hundred sixty-eight".