678328560 has 960 divisors, whose sum is σ = 3206044800. Its totient is φ = 130056192.

The previous prime is 678328529. The next prime is 678328571. The reversal of 678328560 is 65823876.

678328560 is a `hidden beast` number, since 6 + 7 + 83 + 2 + 8 + 560 = 666.

678328560 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23390626 + ... + 23390654.

It is an arithmetic number, because the mean of its divisors is an integer number (3339630).

Almost surely, 2^678328560 is an apocalyptic number.

678328560 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 678328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603022400).

678328560 is an abundant number, since it is smaller than the sum of its proper divisors (2527716240).

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

678328560 is a wasteful number, since it uses less digits than its factorization.

678328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 678328560 is about 26044.7415038046. The cubic root of 678328560 is about 878.6448494773.

The spelling of 678328560 in words is "six hundred seventy-eight million, three hundred twenty-eight thousand, five hundred sixty".