679357920 has 192 divisors, whose sum is σ = 2271386880. Its totient is φ = 170201088.

The previous prime is 679357907. The next prime is 679357949. The reversal of 679357920 is 29753976.

679357920 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 679357920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486332 + ... + 1486788.

It is an arithmetic number, because the mean of its divisors is an integer number (11830140).

Almost surely, 2^679357920 is an apocalyptic number.

679357920 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 679357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135693440).

679357920 is an abundant number, since it is smaller than the sum of its proper divisors (1592028960).

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

679357920 is a wasteful number, since it uses less digits than its factorization.

679357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 679357920 is about 26064.4953912406. The cubic root of 679357920 is about 879.0890711547.

It can be divided in two parts, 67935 and 7920, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 679357920 in words is "six hundred seventy-nine million, three hundred fifty-seven thousand, nine hundred twenty".