712890000 has 225 divisors, whose sum is σ = 2521406173. Its totient is φ = 187968000.

The previous prime is 712889971. The next prime is 712890011. The reversal of 712890000 is 98217.

The square root of 712890000 is 26700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 692531856 + 20358144 = 26316^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-3 number, since 3×712890000³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8009956 + ... + 8010044.

Almost surely, 2^712890000 is an apocalyptic number.

712890000 is the 26700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712890000

712890000 is an abundant number, since it is smaller than the sum of its proper divisors (1808516173).

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

712890000 is an equidigital number, since it uses as much as digits as its factorization.

712890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The cubic root of 712890000 is about 893.3209262899.

The spelling of 712890000 in words is "seven hundred twelve million, eight hundred ninety thousand".