678711 has 16 divisors (see below), whose sum is σ = 1001088. Its totient is φ = 405600.

The previous prime is 678659. The next prime is 678719. The reversal of 678711 is 117876.

It is not a de Polignac number, because 678711 - 2⁶ = 678647 is a prime.

678711 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245 + ... + 4401.

It is an arithmetic number, because the mean of its divisors is an integer number (62568).

2⁶⁷⁸⁷¹¹ is an apocalyptic number.

678711 is a deficient number, since it is larger than the sum of its proper divisors (322377).

678711 is a wasteful number, since it uses less digits than its factorization.

678711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302.

The product of its digits is 2352, while the sum is 30.

The square root of 678711 is about 823.8391833362. The cubic root of 678711 is about 87.8809944401.

It can be divided in two parts, 67 and 8711, that added together give a palindrome (8778).

The spelling of 678711 in words is "six hundred seventy-eight thousand, seven hundred eleven".