82042758 has 72 divisors (see below), whose sum is σ = 208392912. Its totient is φ = 23258592.

The previous prime is 82042757. The next prime is 82042759. The reversal of 82042758 is 85724028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82042757) and next prime (82042759).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042757) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147016 + ... + 147572.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^82042758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82042758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104196456).

82042758 is an abundant number, since it is smaller than the sum of its proper divisors (126350154).

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

82042758 is a wasteful number, since it uses less digits than its factorization.

82042758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82042758 is about 9057.7457460452. The cubic root of 82042758 is about 434.5236481951.

The spelling of 82042758 in words is "eighty-two million, forty-two thousand, seven hundred fifty-eight".