713355120 has 320 divisors, whose sum is σ = 2609832960. Its totient is φ = 178725888.

The previous prime is 713355119. The next prime is 713355127. The reversal of 713355120 is 21553317.

713355120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713355127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4123354 + ... + 4123526.

It is an arithmetic number, because the mean of its divisors is an integer number (8155728).

Almost surely, 2^713355120 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 713355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304916480).

713355120 is an abundant number, since it is smaller than the sum of its proper divisors (1896477840).

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

713355120 is a wasteful number, since it uses less digits than its factorization.

713355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 713355120 is about 26708.7086921101. The cubic root of 713355120 is about 893.5151643436.

The spelling of 713355120 in words is "seven hundred thirteen million, three hundred fifty-five thousand, one hundred twenty".