680477760 has 196 divisors, whose sum is σ = 2430302988. Its totient is φ = 181398528.

The previous prime is 680477737. The next prime is 680477789. The reversal of 680477760 is 67774086.

It can be written as a sum of positive squares in 2 ways, for example, as 534164544 + 146313216 = 23112^2 + 12096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 231822 + ... + 234738.

Almost surely, 2^680477760 is an apocalyptic number.

680477760 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 680477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215151494).

680477760 is an abundant number, since it is smaller than the sum of its proper divisors (1749825228).

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

680477760 is an equidigital number, since it uses as much as digits as its factorization.

680477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 680477760 is about 26085.9686421647. The cubic root of 680477760 is about 879.5718302725.

The spelling of 680477760 in words is "six hundred eighty million, four hundred seventy-seven thousand, seven hundred sixty".