712828320 has 192 divisors, whose sum is σ = 2415329280. Its totient is φ = 176145408.

The previous prime is 712828313. The next prime is 712828321. The reversal of 712828320 is 23828217.

712828320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (712828321) 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, 427809 + ... + 429471.

It is an arithmetic number, because the mean of its divisors is an integer number (12579840).

Almost surely, 2^712828320 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 712828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207664640).

712828320 is an abundant number, since it is smaller than the sum of its proper divisors (1702500960).

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

712828320 is a wasteful number, since it uses less digits than its factorization.

712828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 712828320 is about 26698.8449188350. The cubic root of 712828320 is about 893.2951618550.

The spelling of 712828320 in words is "seven hundred twelve million, eight hundred twenty-eight thousand, three hundred twenty".