678929760 has 288 divisors, whose sum is σ = 2437972992. Its totient is φ = 171832320.

The previous prime is 678929749. The next prime is 678929767. The reversal of 678929760 is 67929876.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 678929697 and 678929706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678929767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2990767 + ... + 2990993.

It is an arithmetic number, because the mean of its divisors is an integer number (8465184).

Almost surely, 2^678929760 is an apocalyptic number.

678929760 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 678929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218986496).

678929760 is an abundant number, since it is smaller than the sum of its proper divisors (1759043232).

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

678929760 is a wasteful number, since it uses less digits than its factorization.

678929760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 678929760 is about 26056.2806248321. The cubic root of 678929760 is about 878.9043526798.

The spelling of 678929760 in words is "six hundred seventy-eight million, nine hundred twenty-nine thousand, seven hundred sixty".