82784560 has 80 divisors (see below), whose sum is σ = 210924000. Its totient is φ = 30076928.

The previous prime is 82784491. The next prime is 82784563. The reversal of 82784560 is 6548728.

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 (40).

It is not an unprimeable number, because it can be changed into a prime (82784563) 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, 38391 + ... + 40489.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^82784560 is an apocalyptic number.

82784560 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 82784560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462000).

82784560 is an abundant number, since it is smaller than the sum of its proper divisors (128139440).

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

82784560 is a wasteful number, since it uses less digits than its factorization.

82784560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 82784560 is about 9098.6020904313. The cubic root of 82784560 is about 435.8293246620.

The spelling of 82784560 in words is "eighty-two million, seven hundred eighty-four thousand, five hundred sixty".