680798160 has 360 divisors, whose sum is σ = 2778572160. Its totient is φ = 148667904.

The previous prime is 680798159. The next prime is 680798207. The reversal of 680798160 is 61897086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×680798160² = 926972269318771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811021 + ... + 811859.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^680798160 is an apocalyptic number.

680798160 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 680798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

680798160 is an abundant number, since it is smaller than the sum of its proper divisors (2097774000).

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

680798160 is a wasteful number, since it uses less digits than its factorization.

680798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 680798160 is about 26092.1091520023. The cubic root of 680798160 is about 879.7098561381.

The spelling of 680798160 in words is "six hundred eighty million, seven hundred ninety-eight thousand, one hundred sixty".