82744200 has 384 divisors, whose sum is σ = 357120000. Its totient is φ = 17107200.

The previous prime is 82744199. The next prime is 82744213. The reversal of 82744200 is 244728.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 415701 + ... + 415899.

It is an arithmetic number, because the mean of its divisors is an integer number (930000).

Almost surely, 2^82744200 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 82744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

82744200 is an abundant number, since it is smaller than the sum of its proper divisors (274375800).

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

82744200 is a wasteful number, since it uses less digits than its factorization.

82744200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82744200 is about 9096.3838969120. The cubic root of 82744200 is about 435.7584864490.

Adding to 82744200 its reverse (244728), we get a palindrome (82988928).

It can be divided in two parts, 82744 and 200, that added together give a square (82944 = 288²).

The spelling of 82744200 in words is "eighty-two million, seven hundred forty-four thousand, two hundred".