678937920 has 224 divisors, whose sum is σ = 2279708928. Its totient is φ = 170852352.

The previous prime is 678937907. The next prime is 678937927. The reversal of 678937920 is 29739876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678937927) by changing a digit.

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, 2141602 + ... + 2141918.

It is an arithmetic number, because the mean of its divisors is an integer number (10177272).

Almost surely, 2^678937920 is an apocalyptic number.

678937920 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 678937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139854464).

678937920 is an abundant number, since it is smaller than the sum of its proper divisors (1600771008).

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

678937920 is a wasteful number, since it uses less digits than its factorization.

678937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 678937920 is about 26056.4372084903. The cubic root of 678937920 is about 878.9078738250.

The spelling of 678937920 in words is "six hundred seventy-eight million, nine hundred thirty-seven thousand, nine hundred twenty".