680117760 has 240 divisors, whose sum is σ = 2692568736. Its totient is φ = 155418624.

The previous prime is 680117729. The next prime is 680117761. The reversal of 680117760 is 67711086.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680117761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159172 + ... + 163388.

Almost surely, 2^680117760 is an apocalyptic number.

680117760 is a gapful number since it is divisible by the number (60) 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 680117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346284368).

680117760 is an abundant number, since it is smaller than the sum of its proper divisors (2012450976).

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

680117760 is a wasteful number, since it uses less digits than its factorization.

680117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4234 counting only the distinct ones).

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

The square root of 680117760 is about 26079.0674679905. The cubic root of 680117760 is about 879.4166933313.

The spelling of 680117760 in words is "six hundred eighty million, one hundred seventeen thousand, seven hundred sixty".