678841920 has 168 divisors, whose sum is σ = 2392299000. Its totient is φ = 176578560.

The previous prime is 678841901. The next prime is 678841973. The reversal of 678841920 is 29148876.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 624200256 = 7392^2 + 24984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115206 + ... + 120954.

It is an arithmetic number, because the mean of its divisors is an integer number (14239875).

Almost surely, 2^678841920 is an apocalyptic number.

678841920 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 678841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196149500).

678841920 is an abundant number, since it is smaller than the sum of its proper divisors (1713457080).

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

678841920 is a wasteful number, since it uses less digits than its factorization.

678841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 678841920 is about 26054.5949882166. The cubic root of 678841920 is about 878.8664468007.

The spelling of 678841920 in words is "six hundred seventy-eight million, eight hundred forty-one thousand, nine hundred twenty".