679800960 has 192 divisors, whose sum is σ = 2371524480. Its totient is φ = 179423232.

The previous prime is 679800941. The next prime is 679800967. The reversal of 679800960 is 69008976.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (679800967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615769 + ... + 616871.

It is an arithmetic number, because the mean of its divisors is an integer number (12351690).

Almost surely, 2^679800960 is an apocalyptic number.

679800960 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 679800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185762240).

679800960 is an abundant number, since it is smaller than the sum of its proper divisors (1691723520).

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

679800960 is a wasteful number, since it uses less digits than its factorization.

679800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 679800960 is about 26072.9929237132. The cubic root of 679800960 is about 879.2801275318.

The spelling of 679800960 in words is "six hundred seventy-nine million, eight hundred thousand, nine hundred sixty".