713126304 has 144 divisors (see below), whose sum is σ = 2227496544. Its totient is φ = 214617600.

The previous prime is 713126303. The next prime is 713126317. The reversal of 713126304 is 403621317.

713126304 is a `hidden beast` number, since 7 + 13 + 12 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (713126303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515694 + ... + 517074.

It is an arithmetic number, because the mean of its divisors is an integer number (15468726).

Almost surely, 2^713126304 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 713126304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113748272).

713126304 is an abundant number, since it is smaller than the sum of its proper divisors (1514370240).

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

713126304 is a wasteful number, since it uses less digits than its factorization.

713126304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 713126304 is about 26704.4248018938. The cubic root of 713126304 is about 893.4196193974.

The spelling of 713126304 in words is "seven hundred thirteen million, one hundred twenty-six thousand, three hundred four".