82051200 has 576 divisors, whose sum is σ = 374886720. Its totient is φ = 16588800.

The previous prime is 82051199. The next prime is 82051223. The reversal of 82051200 is 215028.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217582 + ... + 2217618.

It is an arithmetic number, because the mean of its divisors is an integer number (650845).

Almost surely, 2^82051200 is an apocalyptic number.

82051200 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 82051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187443360).

82051200 is an abundant number, since it is smaller than the sum of its proper divisors (292835520).

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

82051200 is a wasteful number, since it uses less digits than its factorization.

82051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 82051200 is about 9058.2117440475. The cubic root of 82051200 is about 434.5385514924.

Adding to 82051200 its reverse (215028), we get a palindrome (82266228).

The spelling of 82051200 in words is "eighty-two million, fifty-one thousand, two hundred".