711080 has 32 divisors (see below), whose sum is σ = 1657800. Its totient is φ = 274176.

The previous prime is 711049. The next prime is 711089. The reversal of 711080 is 80117.

711080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 334084 + 376996 = 578^2 + 614^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 711080.

It is not an unprimeable number, because it can be changed into a prime (711089) by changing a digit.

711080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854 + ... + 1466.

2⁷¹¹⁰⁸⁰ 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 711080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828900).

711080 is an abundant number, since it is smaller than the sum of its proper divisors (946720).

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

711080 is a wasteful number, since it uses less digits than its factorization.

711080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 711080 is about 843.2555958901. The cubic root of 711080 is about 89.2564249835.

Adding to 711080 its reverse (80117), we get a palindrome (791197).

The spelling of 711080 in words is "seven hundred eleven thousand, eighty".