679610880 has 240 divisors, whose sum is σ = 2535853320. Its totient is φ = 167215104.

The previous prime is 679610873. The next prime is 679610927. The reversal of 679610880 is 88016976.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 231526656 + 448084224 = 15216^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298386 + ... + 300654.

Almost surely, 2^679610880 is an apocalyptic number.

679610880 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 679610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267926660).

679610880 is an abundant number, since it is smaller than the sum of its proper divisors (1856242440).

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

679610880 is a wasteful number, since it uses less digits than its factorization.

679610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 679610880 is about 26069.3475177266. The cubic root of 679610880 is about 879.1981676855.

The spelling of 679610880 in words is "six hundred seventy-nine million, six hundred ten thousand, eight hundred eighty".