713856000 has 528 divisors, whose sum is σ = 2805012288. Its totient is φ = 159744000.

The previous prime is 713855971. The next prime is 713856001. The reversal of 713856000 is 658317.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713856001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54911994 + ... + 54912006.

Almost surely, 2^713856000 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 713856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402506144).

713856000 is an abundant number, since it is smaller than the sum of its proper divisors (2091156288).

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

713856000 is a wasteful number, since it uses less digits than its factorization.

713856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 713856000 is about 26718.0837636235. The cubic root of 713856000 is about 893.7242416819.

The spelling of 713856000 in words is "seven hundred thirteen million, eight hundred fifty-six thousand".