82716004 has 96 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 31667328.

The previous prime is 82715993. The next prime is 82716017. The reversal of 82716004 is 40061728.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 803017 + ... + 803119.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 2^82716004 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 82716004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

82716004 is an abundant number, since it is smaller than the sum of its proper divisors (101788316).

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

82716004 is a wasteful number, since it uses less digits than its factorization.

82716004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 82716004 is about 9094.8339182197. The cubic root of 82716004 is about 435.7089843201.

The spelling of 82716004 in words is "eighty-two million, seven hundred sixteen thousand, four".