712896000 has 320 divisors, whose sum is σ = 2451271680. Its totient is φ = 183705600.

The previous prime is 712895977. The next prime is 712896001. The reversal of 712896000 is 698217.

712896000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712896001) 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, 9023961 + ... + 9024039.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2^712896000 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 712896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225635840).

712896000 is an abundant number, since it is smaller than the sum of its proper divisors (1738375680).

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

712896000 is an equidigital number, since it uses as much as digits as its factorization.

712896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 712896000 is about 26700.1123593141. The cubic root of 712896000 is about 893.3234324786.

The spelling of 712896000 in words is "seven hundred twelve million, eight hundred ninety-six thousand".