678648320 has 80 divisors (see below), whose sum is σ = 1859666688. Its totient is φ = 232673280.

The previous prime is 678648319. The next prime is 678648329. The reversal of 678648320 is 23846876.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (678648329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1016 + ... + 36855.

Almost surely, 2^678648320 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 678648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929833344).

678648320 is an abundant number, since it is smaller than the sum of its proper divisors (1181018368).

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

678648320 is an equidigital number, since it uses as much as digits as its factorization.

678648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37901 (or 37885 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 678648320 is about 26050.8794477269. The cubic root of 678648320 is about 878.7828904200.

The spelling of 678648320 in words is "six hundred seventy-eight million, six hundred forty-eight thousand, three hundred twenty".