713318400 has 420 divisors, whose sum is σ = 2703915852. Its totient is φ = 185794560.

The previous prime is 713318399. The next prime is 713318471. The reversal of 713318400 is 4813317.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588779 + ... + 16588821.

Almost surely, 2^713318400 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 713318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351957926).

713318400 is an abundant number, since it is smaller than the sum of its proper divisors (1990597452).

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

713318400 is an equidigital number, since it uses as much as digits as its factorization.

713318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 713318400 is about 26708.0212670276. The cubic root of 713318400 is about 893.4998328306.

The spelling of 713318400 in words is "seven hundred thirteen million, three hundred eighteen thousand, four hundred".