82079360 has 128 divisors (see below), whose sum is σ = 218116800. Its totient is φ = 29286400.

The previous prime is 82079359. The next prime is 82079369. The reversal of 82079360 is 6397028.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 82079360.

It is not an unprimeable number, because it can be changed into a prime (82079369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626495 + ... + 626625.

Almost surely, 2^82079360 is an apocalyptic number.

82079360 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 82079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109058400).

82079360 is an abundant number, since it is smaller than the sum of its proper divisors (136037440).

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

82079360 is a wasteful number, since it uses less digits than its factorization.

82079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 82079360 is about 9059.7660013932. The cubic root of 82079360 is about 434.5882570665.

The spelling of 82079360 in words is "eighty-two million, seventy-nine thousand, three hundred sixty".