82784064 has 112 divisors (see below), whose sum is σ = 251642880. Its totient is φ = 23754240.

The previous prime is 82784047. The next prime is 82784077. The reversal of 82784064 is 46048728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39097 + ... + 41159.

Almost surely, 2^82784064 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 82784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125821440).

82784064 is an abundant number, since it is smaller than the sum of its proper divisors (168858816).

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

82784064 is a wasteful number, since it uses less digits than its factorization.

82784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 82784064 is about 9098.5748334561. The cubic root of 82784064 is about 435.8284542429.

The spelling of 82784064 in words is "eighty-two million, seven hundred eighty-four thousand, sixty-four".