82759842 has 96 divisors (see below), whose sum is σ = 216328320. Its totient is φ = 22556160.

The previous prime is 82759829. The next prime is 82759843. The reversal of 82759842 is 24895728.

It is not an unprimeable number, because it can be changed into a prime (82759843) 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, 76884 + ... + 77952.

It is an arithmetic number, because the mean of its divisors is an integer number (2253420).

Almost surely, 2^82759842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82759842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108164160).

82759842 is an abundant number, since it is smaller than the sum of its proper divisors (133568478).

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

82759842 is a wasteful number, since it uses less digits than its factorization.

82759842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1125 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82759842 is about 9097.2436484905. The cubic root of 82759842 is about 435.7859433776.

The spelling of 82759842 in words is "eighty-two million, seven hundred fifty-nine thousand, eight hundred forty-two".