712828700 has 144 divisors (see below), whose sum is σ = 1785823200. Its totient is φ = 245145600.

The previous prime is 712828693. The next prime is 712828703. The reversal of 712828700 is 7828217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712828703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936320 + ... + 937080.

It is an arithmetic number, because the mean of its divisors is an integer number (12401550).

Almost surely, 2^712828700 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 712828700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892911600).

712828700 is an abundant number, since it is smaller than the sum of its proper divisors (1072994500).

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

712828700 is a wasteful number, since it uses less digits than its factorization.

712828700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 712828700 is about 26698.8520352468. The cubic root of 712828700 is about 893.2953205899.

The spelling of 712828700 in words is "seven hundred twelve million, eight hundred twenty-eight thousand, seven hundred".