82811200 has 84 divisors (see below), whose sum is σ = 206849980. Its totient is φ = 32624640.

The previous prime is 82811173. The next prime is 82811219. The reversal of 82811200 is 211828.

It can be written as a sum of positive squares in 6 ways, for example, as 7884864 + 74926336 = 2808^2 + 8656^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 116446 + ... + 117154.

Almost surely, 2^82811200 is an apocalyptic number.

82811200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103424990).

82811200 is an abundant number, since it is smaller than the sum of its proper divisors (124038780).

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

82811200 is a wasteful number, since it uses less digits than its factorization.

82811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 82811200 is about 9100.0659338271. The cubic root of 82811200 is about 435.8760694818.

The spelling of 82811200 in words is "eighty-two million, eight hundred eleven thousand, two hundred".