712206900 has 108 divisors (see below), whose sum is σ = 2286939564. Its totient is φ = 185280000.

The previous prime is 712206829. The next prime is 712206923. The reversal of 712206900 is 9602217.

712206900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 103795344 + 608411556 = 10188^2 + 24666^2 .

It is a super-2 number, since 2×712206900² = 1014477336815220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27250 + ... + 46550.

Almost surely, 2^712206900 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 712206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143469782).

712206900 is an abundant number, since it is smaller than the sum of its proper divisors (1574732664).

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

712206900 is a wasteful number, since it uses less digits than its factorization.

712206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19362 (or 19352 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 712206900 is about 26687.2047993041. The cubic root of 712206900 is about 893.0355047252.

The spelling of 712206900 in words is "seven hundred twelve million, two hundred six thousand, nine hundred".