711880 has 48 divisors (see below), whose sum is σ = 1772820. Its totient is φ = 255744.

The previous prime is 711877. The next prime is 711889. The reversal of 711880 is 88117.

711880 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 6 ways, for example, as 487204 + 224676 = 698^2 + 474^2 .

It is not an unprimeable number, because it can be changed into a prime (711889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19222 + ... + 19258.

2⁷¹¹⁸⁸⁰ 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 711880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886410).

711880 is an abundant number, since it is smaller than the sum of its proper divisors (1060940).

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

711880 is a wasteful number, since it uses less digits than its factorization.

711880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 711880 is about 843.7298145734. The cubic root of 711880 is about 89.2898850623.

Adding to 711880 its reverse (88117), we get a palindrome (799997).

The spelling of 711880 in words is "seven hundred eleven thousand, eight hundred eighty".