678984320 has 128 divisors (see below), whose sum is σ = 1915315200. Its totient is φ = 225239040.

The previous prime is 678984307. The next prime is 678984347. The reversal of 678984320 is 23489876.

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

It is a super-2 number, since 2×678984320² = 922039413611724800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136436 + ... + 141324.

It is an arithmetic number, because the mean of its divisors is an integer number (14963400).

Almost surely, 2^678984320 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 678984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957657600).

678984320 is an abundant number, since it is smaller than the sum of its proper divisors (1236330880).

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

678984320 is a wasteful number, since it uses less digits than its factorization.

678984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 678984320 is about 26057.3275682676. The cubic root of 678984320 is about 878.9278954868.

The spelling of 678984320 in words is "six hundred seventy-eight million, nine hundred eighty-four thousand, three hundred twenty".