678760 has 32 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 266560.

The previous prime is 678757. The next prime is 678761. The reversal of 678760 is 67876.

678760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (678761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2721 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁶⁷⁸⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

678760 is an abundant number, since it is smaller than the sum of its proper divisors (876440).

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

678760 is a wasteful number, since it uses less digits than its factorization.

678760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 678760 is about 823.8689216131. The cubic root of 678760 is about 87.8831092651.

The spelling of 678760 in words is "six hundred seventy-eight thousand, seven hundred sixty".