713156400 has 720 divisors, whose sum is σ = 3022306560. Its totient is φ = 159667200.

The previous prime is 713156383. The next prime is 713156401. The reversal of 713156400 is 4651317.

713156400 is a `hidden beast` number, since 7 + 1 + 3 + 15 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (713156401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24591586 + ... + 24591614.

It is an arithmetic number, because the mean of its divisors is an integer number (4197648).

Almost surely, 2^713156400 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 713156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511153280).

713156400 is an abundant number, since it is smaller than the sum of its proper divisors (2309150160).

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

713156400 is a wasteful number, since it uses less digits than its factorization.

713156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 713156400 is about 26704.9882980690. The cubic root of 713156400 is about 893.4321875211.

The spelling of 713156400 in words is "seven hundred thirteen million, one hundred fifty-six thousand, four hundred".