713009920 has 288 divisors, whose sum is σ = 2147475456. Its totient is φ = 221184000.

The previous prime is 713009909. The next prime is 713009929. The reversal of 713009920 is 29900317.

713009920 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 (31).

It is not an unprimeable number, because it can be changed into a prime (713009929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4721845 + ... + 4721995.

It is an arithmetic number, because the mean of its divisors is an integer number (7456512).

Almost surely, 2^713009920 is an apocalyptic number.

713009920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073737728).

713009920 is an abundant number, since it is smaller than the sum of its proper divisors (1434465536).

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

713009920 is a wasteful number, since it uses less digits than its factorization.

713009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 713009920 is about 26702.2455984511. The cubic root of 713009920 is about 893.3710139795.

The spelling of 713009920 in words is "seven hundred thirteen million, nine thousand, nine hundred twenty".