82459200 has 168 divisors, whose sum is σ = 277794720. Its totient is φ = 21401600.

The previous prime is 82459189. The next prime is 82459207. The reversal of 82459200 is 295428.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82459207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196591 + ... + 197009.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^82459200 is an apocalyptic number.

82459200 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 82459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

82459200 is an abundant number, since it is smaller than the sum of its proper divisors (195335520).

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

82459200 is a wasteful number, since it uses less digits than its factorization.

82459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 82459200 is about 9080.7048184599. The cubic root of 82459200 is about 435.2576093359.

The spelling of 82459200 in words is "eighty-two million, four hundred fifty-nine thousand, two hundred".