82027440 has 120 divisors (see below), whose sum is σ = 300547728. Its totient is φ = 19883520.

The previous prime is 82027367. The next prime is 82027441. The reversal of 82027440 is 4472028.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (82027441) 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 23 ways as a sum of consecutive naturals, for example, 2742 + ... + 13098.

Almost surely, 2^82027440 is an apocalyptic number.

82027440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150273864).

82027440 is an abundant number, since it is smaller than the sum of its proper divisors (218520288).

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

82027440 is a wasteful number, since it uses less digits than its factorization.

82027440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10378 counting only the distinct ones).

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

The square root of 82027440 is about 9056.9001319436. The cubic root of 82027440 is about 434.4966035675.

Adding to 82027440 its reverse (4472028), we get a palindrome (86499468).

The spelling of 82027440 in words is "eighty-two million, twenty-seven thousand, four hundred forty".