82080042 has 32 divisors (see below), whose sum is σ = 180944064. Its totient is φ = 24614400.

The previous prime is 82080041. The next prime is 82080049. The reversal of 82080042 is 24008028.

It is a junction number, because it is equal to n+sod(n) for n = 82079994 and 82080021.

It is not an unprimeable number, because it can be changed into a prime (82080041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 12812.

It is an arithmetic number, because the mean of its divisors is an integer number (5654502).

Almost surely, 2^82080042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82080042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90472032).

82080042 is an abundant number, since it is smaller than the sum of its proper divisors (98864022).

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

82080042 is a wasteful number, since it uses less digits than its factorization.

82080042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12934.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 82080042 is about 9059.8036402562. The cubic root of 82080042 is about 434.5894607324.

The spelling of 82080042 in words is "eighty-two million, eighty thousand, forty-two".