678928320 has 504 divisors, whose sum is σ = 2886449904. Its totient is φ = 145539072.

The previous prime is 678928279. The next prime is 678928321. The reversal of 678928320 is 23829876.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678928321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2398899 + ... + 2399181.

Almost surely, 2^678928320 is an apocalyptic number.

678928320 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 678928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443224952).

678928320 is an abundant number, since it is smaller than the sum of its proper divisors (2207521584).

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

678928320 is a wasteful number, since it uses less digits than its factorization.

678928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 678928320 is about 26056.2529923241. The cubic root of 678928320 is about 878.9037312983.

The spelling of 678928320 in words is "six hundred seventy-eight million, nine hundred twenty-eight thousand, three hundred twenty".