680425200 has 720 divisors, whose sum is σ = 3044694016. Its totient is φ = 136857600.

The previous prime is 680425129. The next prime is 680425211. The reversal of 680425200 is 2524086.

680425200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10155567 + ... + 10155633.

Almost surely, 2^680425200 is an apocalyptic number.

680425200 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 680425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522347008).

680425200 is an abundant number, since it is smaller than the sum of its proper divisors (2364268816).

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

680425200 is a wasteful number, since it uses less digits than its factorization.

680425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 680425200 is about 26084.9611845600. The cubic root of 680425200 is about 879.5491836907.

Adding to 680425200 its reverse (2524086), we get a palindrome (682949286).

It can be divided in two parts, 680425 and 200, that added together give a square (680625 = 825²).

The spelling of 680425200 in words is "six hundred eighty million, four hundred twenty-five thousand, two hundred".