678896000 has 128 divisors (see below), whose sum is σ = 1705129920. Its totient is φ = 268800000.

The previous prime is 678895993. The next prime is 678896033. The reversal of 678896000 is 698876.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2415860 + ... + 2416140.

Almost surely, 2^678896000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852564960).

678896000 is an abundant number, since it is smaller than the sum of its proper divisors (1026233920).

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

678896000 is a wasteful number, since it uses less digits than its factorization.

678896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 678896000 is about 26055.6327883243. The cubic root of 678896000 is about 878.8897845047.

The spelling of 678896000 in words is "six hundred seventy-eight million, eight hundred ninety-six thousand".