82716000 has 192 divisors, whose sum is σ = 277857216. Its totient is φ = 21504000.

The previous prime is 82715993. The next prime is 82716017. The reversal of 82716000 is 61728.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731944 + ... + 732056.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 2^82716000 is an apocalyptic number.

82716000 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 82716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

82716000 is an abundant number, since it is smaller than the sum of its proper divisors (195141216).

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

82716000 is a wasteful number, since it uses less digits than its factorization.

82716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 82716000 is about 9094.8336983147. The cubic root of 82716000 is about 435.7089772968.

Adding to 82716000 its reverse (61728), we get a palindrome (82777728).

The spelling of 82716000 in words is "eighty-two million, seven hundred sixteen thousand".