679680000 has 360 divisors, whose sum is σ = 2494592100. Its totient is φ = 178176000.

The previous prime is 679679999. The next prime is 679680037. The reversal of 679680000 is 86976.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519971 + ... + 11520029.

Almost surely, 2^679680000 is an apocalyptic number.

679680000 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 679680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247296050).

679680000 is an abundant number, since it is smaller than the sum of its proper divisors (1814912100).

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

679680000 is an equidigital number, since it uses as much as digits as its factorization.

679680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 679680000 is about 26070.6731788805. The cubic root of 679680000 is about 879.2279730339.

The spelling of 679680000 in words is "six hundred seventy-nine million, six hundred eighty thousand".