82145760 has 96 divisors (see below), whose sum is σ = 263723040. Its totient is φ = 21485568.

The previous prime is 82145731. The next prime is 82145761. The reversal of 82145760 is 6754128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82145761) 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, 23826 + ... + 27054.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^82145760 is an apocalyptic number.

82145760 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 82145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

82145760 is an abundant number, since it is smaller than the sum of its proper divisors (181577280).

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

82145760 is a wasteful number, since it uses less digits than its factorization.

82145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 82145760 is about 9063.4298143694. The cubic root of 82145760 is about 434.7054155594.

Adding to 82145760 its reverse (6754128), we get a palindrome (88899888).

The spelling of 82145760 in words is "eighty-two million, one hundred forty-five thousand, seven hundred sixty".