82459080 has 192 divisors, whose sum is σ = 302601600. Its totient is φ = 19958400.

The previous prime is 82459073. The next prime is 82459081. The reversal of 82459080 is 8095428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82459081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 130365 + ... + 130995.

It is an arithmetic number, because the mean of its divisors is an integer number (1576050).

Almost surely, 2^82459080 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 82459080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151300800).

82459080 is an abundant number, since it is smaller than the sum of its proper divisors (220142520).

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

82459080 is a wasteful number, since it uses less digits than its factorization.

82459080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82459080 is about 9080.6982110408. The cubic root of 82459080 is about 435.2573981974.

The spelling of 82459080 in words is "eighty-two million, four hundred fifty-nine thousand, eighty".