82505880 has 96 divisors (see below), whose sum is σ = 276831360. Its totient is φ = 21288960.

The previous prime is 82505867. The next prime is 82505887. The reversal of 82505880 is 8850528.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82505887) 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, 7464 + ... + 14856.

It is an arithmetic number, because the mean of its divisors is an integer number (2883660).

Almost surely, 2^82505880 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 82505880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138415680).

82505880 is an abundant number, since it is smaller than the sum of its proper divisors (194325480).

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

82505880 is a wasteful number, since it uses less digits than its factorization.

82505880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 82505880 is about 9083.2747398722. The cubic root of 82505880 is about 435.3397266838.

The spelling of 82505880 in words is "eighty-two million, five hundred five thousand, eight hundred eighty".