716263200 has 216 divisors, whose sum is σ = 2574749268. Its totient is φ = 187299840.

The previous prime is 716263183. The next prime is 716263213. The reversal of 716263200 is 2362617.

It is a happy number.

716263200 is a `hidden beast` number, since 7 + 1 + 626 + 32 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 384003216 + 332259984 = 19596^2 + 18228^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380662 + ... + 382538.

Almost surely, 2^716263200 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 716263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287374634).

716263200 is an abundant number, since it is smaller than the sum of its proper divisors (1858486068).

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

716263200 is a wasteful number, since it uses less digits than its factorization.

716263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 716263200 is about 26763.0939915399. The cubic root of 716263200 is about 894.7276930285.

The spelling of 716263200 in words is "seven hundred sixteen million, two hundred sixty-three thousand, two hundred".