712080 has 120 divisors (see below), whose sum is σ = 2553408. Its totient is φ = 177408.

The previous prime is 712067. The next prime is 712093. The reversal of 712080 is 80217.

712080 = 19³ + 20³ + ... + 41³.

712080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (712067) and next prime (712093).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

712080 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 23 ways as a sum of consecutive naturals, for example, 16539 + ... + 16581.

2⁷¹²⁰⁸⁰ 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 712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276704).

712080 is an abundant number, since it is smaller than the sum of its proper divisors (1841328).

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

712080 is a wasteful number, since it uses less digits than its factorization.

712080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 712080 is about 843.8483276040. The cubic root of 712080 is about 89.2982461648.

Adding to 712080 its reverse (80217), we get a palindrome (792297).

The spelling of 712080 in words is "seven hundred twelve thousand, eighty".