713347200 has 576 divisors, whose sum is σ = 2841246720. Its totient is φ = 169574400.

The previous prime is 713347199. The next prime is 713347211. The reversal of 713347200 is 2743317.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15177577 + ... + 15177623.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^713347200 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 713347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420623360).

713347200 is an abundant number, since it is smaller than the sum of its proper divisors (2127899520).

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

713347200 is a wasteful number, since it uses less digits than its factorization.

713347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 713347200 is about 26708.5604254516. The cubic root of 713347200 is about 893.5118575912.

The spelling of 713347200 in words is "seven hundred thirteen million, three hundred forty-seven thousand, two hundred".