679991760 has 480 divisors, whose sum is σ = 2859816960. Its totient is φ = 146686464.

The previous prime is 679991759. The next prime is 679991771. The reversal of 679991760 is 67199976.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 679991697 and 679991706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585389 + ... + 2585651.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2^679991760 is an apocalyptic number.

679991760 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 679991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429908480).

679991760 is an abundant number, since it is smaller than the sum of its proper divisors (2179825200).

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

679991760 is a wasteful number, since it uses less digits than its factorization.

679991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 679991760 is about 26076.6516255443. The cubic root of 679991760 is about 879.3623824686.

The spelling of 679991760 in words is "six hundred seventy-nine million, nine hundred ninety-one thousand, seven hundred sixty".