82000240 has 80 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 27924480.

The previous prime is 82000229. The next prime is 82000249. The reversal of 82000240 is 4200028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000249) 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 15 ways as a sum of consecutive naturals, for example, 100956 + ... + 101764.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^82000240 is an apocalyptic number.

82000240 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 82000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

82000240 is an abundant number, since it is smaller than the sum of its proper divisors (137360720).

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

82000240 is a wasteful number, since it uses less digits than its factorization.

82000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82000240 is about 9055.3983899108. The cubic root of 82000240 is about 434.4485724283.

Adding to 82000240 its reverse (4200028), we get a palindrome (86200268).

The spelling of 82000240 in words is "eighty-two million, two hundred forty", and thus it is an aban number.