711768 has 32 divisors (see below), whose sum is σ = 1820160. Its totient is φ = 231840.

The previous prime is 711757. The next prime is 711793. The reversal of 711768 is 867117.

711768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×711768² = 1013227371648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (56880).

2⁷¹¹⁷⁶⁸ 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 711768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910080).

711768 is an abundant number, since it is smaller than the sum of its proper divisors (1108392).

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

711768 is a wasteful number, since it uses less digits than its factorization.

711768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

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

The square root of 711768 is about 843.6634400044. The cubic root of 711768 is about 89.2852021609.

The spelling of 711768 in words is "seven hundred eleven thousand, seven hundred sixty-eight".