680305600 has 84 divisors (see below), whose sum is σ = 1802799544. Its totient is φ = 251182080.

The previous prime is 680305597. The next prime is 680305601. The reversal of 680305600 is 6503086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680305601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4447 + ... + 37153.

Almost surely, 2^680305600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901399772).

680305600 is an abundant number, since it is smaller than the sum of its proper divisors (1122493944).

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

680305600 is a wasteful number, since it uses less digits than its factorization.

680305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32742 (or 32727 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 680305600 is about 26082.6685751286. The cubic root of 680305600 is about 879.4976471680.

Adding to 680305600 its reverse (6503086), we get a palindrome (686808686).

The spelling of 680305600 in words is "six hundred eighty million, three hundred five thousand, six hundred".