82800324 has 36 divisors (see below), whose sum is σ = 211231020. Its totient is φ = 27345600.

The previous prime is 82800301. The next prime is 82800331. The reversal of 82800324 is 42300828.

It can be written as a sum of positive squares in 2 ways, for example, as 38044224 + 44756100 = 6168^2 + 6690^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6627 + ... + 14474.

Almost surely, 2^82800324 is an apocalyptic number.

It is an amenable number.

82800324 is an abundant number, since it is smaller than the sum of its proper divisors (128430696).

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

82800324 is a wasteful number, since it uses less digits than its factorization.

82800324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21220 (or 21215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82800324 is about 9099.4683361172. The cubic root of 82800324 is about 435.8569867342.

The spelling of 82800324 in words is "eighty-two million, eight hundred thousand, three hundred twenty-four".