82580760 has 96 divisors (see below), whose sum is σ = 270017280. Its totient is φ = 21888000.

The previous prime is 82580753. The next prime is 82580789. The reversal of 82580760 is 6708528.

82580760 is a `hidden beast` number, since 8 + 2 + 580 + 76 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68160 + ... + 69360.

It is an arithmetic number, because the mean of its divisors is an integer number (2812680).

Almost surely, 2^82580760 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 82580760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135008640).

82580760 is an abundant number, since it is smaller than the sum of its proper divisors (187436520).

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

82580760 is a wasteful number, since it uses less digits than its factorization.

82580760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82580760 is about 9087.3956665262. The cubic root of 82580760 is about 435.4713875301.

The spelling of 82580760 in words is "eighty-two million, five hundred eighty thousand, seven hundred sixty".