716313600 has 198 divisors, whose sum is σ = 2565566510. Its totient is φ = 190955520.

The previous prime is 716313553. The next prime is 716313617. The reversal of 716313600 is 6313617.

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 712249344 = 2016^2 + 26688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228846 + ... + 231954.

Almost surely, 2^716313600 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 716313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282783255).

716313600 is an abundant number, since it is smaller than the sum of its proper divisors (1849252910).

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

716313600 is a wasteful number, since it uses less digits than its factorization.

716313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 716313600 is about 26764.0355701452. The cubic root of 716313600 is about 894.7486784326.

The spelling of 716313600 in words is "seven hundred sixteen million, three hundred thirteen thousand, six hundred".