82042740 has 288 divisors, whose sum is σ = 295142400. Its totient is φ = 18869760.

The previous prime is 82042739. The next prime is 82042757. The reversal of 82042740 is 4724028.

It is a super-2 number, since 2×82042740² = 13462022373415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 845 × 837 × 116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2646525 + ... + 2646555.

It is an arithmetic number, because the mean of its divisors is an integer number (1024800).

Almost surely, 2^82042740 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 82042740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

82042740 is an abundant number, since it is smaller than the sum of its proper divisors (213099660).

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

82042740 is a wasteful number, since it uses less digits than its factorization.

82042740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82042740 is about 9057.7447524204. The cubic root of 82042740 is about 434.5236164173.

Adding to 82042740 its reverse (4724028), we get a palindrome (86766768).

The spelling of 82042740 in words is "eighty-two million, forty-two thousand, seven hundred forty".