711920 has 40 divisors (see below), whose sum is σ = 1807920. Its totient is φ = 258560.

The previous prime is 711913. The next prime is 711923. The reversal of 711920 is 29117.

711920 = T₁₉₁ + T₁₉₂ + ... + T₂₂₃.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 711892 and 711901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711923) by changing a digit.

711920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (45198).

2⁷¹¹⁹²⁰ 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 711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903960).

711920 is an abundant number, since it is smaller than the sum of its proper divisors (1096000).

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

711920 is a wasteful number, since it uses less digits than its factorization.

711920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 711920 is about 843.7535185112. The cubic root of 711920 is about 89.2915574081.

It can be divided in two parts, 71 and 1920, that added together give a palindrome (1991).

The spelling of 711920 in words is "seven hundred eleven thousand, nine hundred twenty".