680128000 has 80 divisors (see below), whose sum is σ = 1696101264. Its totient is φ = 272025600.

The previous prime is 680127937. The next prime is 680128019. The reversal of 680128000 is 821086.

680128000 is digitally balanced in base 6, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58687 + ... + 69313.

Almost surely, 2^680128000 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 680128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848050632).

680128000 is an abundant number, since it is smaller than the sum of its proper divisors (1015973264).

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

680128000 is an equidigital number, since it uses as much as digits as its factorization.

680128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 680128000 is about 26079.2637932899. The cubic root of 680128000 is about 879.4211068717.

Adding to 680128000 its reverse (821086), we get a palindrome (680949086).

The spelling of 680128000 in words is "six hundred eighty million, one hundred twenty-eight thousand".