716320 has 72 divisors (see below), whose sum is σ = 1910412. Its totient is φ = 253440.

The previous prime is 716299. The next prime is 716321. The reversal of 716320 is 23617.

It can be written as a sum of positive squares in 2 ways, for example, as 698896 + 17424 = 836^2 + 132^2 .

It is a super-2 number, since 2×716320² = 1026228684800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (716321) by changing a digit.

716320 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 11 ways as a sum of consecutive naturals, for example, 19342 + ... + 19378.

2⁷¹⁶³²⁰ 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 716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955206).

716320 is an abundant number, since it is smaller than the sum of its proper divisors (1194092).

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

716320 is a wasteful number, since it uses less digits than its factorization.

716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 716320 is about 846.3568987135. The cubic root of 716320 is about 89.4751343175.

Adding to 716320 its reverse (23617), we get a palindrome (739937).

The spelling of 716320 in words is "seven hundred sixteen thousand, three hundred twenty".