709120 has 40 divisors (see below), whose sum is σ = 1706364. Its totient is φ = 282624.

The previous prime is 709117. The next prime is 709123. The reversal of 709120 is 21907.

It is an interprime number because it is at equal distance from previous prime (709117) and next prime (709123).

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 43264 = 816^2 + 208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (709123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2422 + ... + 2698.

2⁷⁰⁹¹²⁰ 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 709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853182).

709120 is an abundant number, since it is smaller than the sum of its proper divisors (997244).

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

709120 is an equidigital number, since it uses as much as digits as its factorization.

709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 709120 is about 842.0926314842. The cubic root of 709120 is about 89.1743415915.

The spelling of 709120 in words is "seven hundred nine thousand, one hundred twenty".