680754600 has 144 divisors (see below), whose sum is σ = 2304450720. Its totient is φ = 180086400.

The previous prime is 680754593. The next prime is 680754619. The reversal of 680754600 is 6457086.

It is a happy number.

680754600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 234357 + ... + 237243.

It is an arithmetic number, because the mean of its divisors is an integer number (16003130).

Almost surely, 2^680754600 is an apocalyptic number.

680754600 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 680754600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152225360).

680754600 is an abundant number, since it is smaller than the sum of its proper divisors (1623696120).

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

680754600 is a wasteful number, since it uses less digits than its factorization.

680754600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 680754600 is about 26091.2744035243. The cubic root of 680754600 is about 879.6910933677.

The spelling of 680754600 in words is "six hundred eighty million, seven hundred fifty-four thousand, six hundred".