82263792200 has 108 divisors (see below), whose sum is σ = 203346360465. Its totient is φ = 30943938560.

The previous prime is 82263792161. The next prime is 82263792209. The reversal of 82263792200 is 229736228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 2277771076 + 79986021124 = 47726^2 + 282818^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202810.

It is not an unprimeable number, because it can be changed into a prime (82263792209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68954804 + ... + 68955996.

Almost surely, 2^82263792200 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 82263792200

82263792200 is an abundant number, since it is smaller than the sum of its proper divisors (121082568265).

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

82263792200 is a wasteful number, since it uses less digits than its factorization.

82263792200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 82263792200 in words is "eighty-two billion, two hundred sixty-three million, seven hundred ninety-two thousand, two hundred".