680306400 has 216 divisors, whose sum is σ = 2525697720. Its totient is φ = 171832320.

The previous prime is 680306369. The next prime is 680306441. The reversal of 680306400 is 4603086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134314 + ... + 139286.

It is an arithmetic number, because the mean of its divisors is an integer number (11693045).

Almost surely, 2^680306400 is an apocalyptic number.

680306400 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 680306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262848860).

680306400 is an abundant number, since it is smaller than the sum of its proper divisors (1845391320).

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

680306400 is a wasteful number, since it uses less digits than its factorization.

680306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 680306400 is about 26082.6839109782. The cubic root of 680306400 is about 879.4979919140.

Adding to 680306400 its reverse (4603086), we get a palindrome (684909486).

The spelling of 680306400 in words is "six hundred eighty million, three hundred six thousand, four hundred".