678784320 has 224 divisors, whose sum is σ = 2411821440. Its totient is φ = 179712000.

The previous prime is 678784307. The next prime is 678784331. The reversal of 678784320 is 23487876.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2168484 + ... + 2168796.

It is an arithmetic number, because the mean of its divisors is an integer number (10767060).

Almost surely, 2^678784320 is an apocalyptic number.

678784320 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 678784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205910720).

678784320 is an abundant number, since it is smaller than the sum of its proper divisors (1733037120).

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

678784320 is a wasteful number, since it uses less digits than its factorization.

678784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 678784320 is about 26053.4895935266. The cubic root of 678784320 is about 878.8415887114.

The spelling of 678784320 in words is "six hundred seventy-eight million, seven hundred eighty-four thousand, three hundred twenty".