82784520 has 432 divisors, whose sum is σ = 355724460. Its totient is φ = 16547328.

The previous prime is 82784491. The next prime is 82784563. The reversal of 82784520 is 2548728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 5731236 = 8778^2 + 2394^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4357071 + ... + 4357089.

Almost surely, 2^82784520 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 82784520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177862230).

82784520 is an abundant number, since it is smaller than the sum of its proper divisors (272939940).

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

82784520 is a wasteful number, since it uses less digits than its factorization.

82784520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82784520 is about 9098.5998922911. The cubic root of 82784520 is about 435.8292544670.

The spelling of 82784520 in words is "eighty-two million, seven hundred eighty-four thousand, five hundred twenty".