82719776 has 48 divisors (see below), whose sum is σ = 171206784. Its totient is φ = 39266304.

The previous prime is 82719751. The next prime is 82719779. The reversal of 82719776 is 67791728.

It is a super-2 number, since 2×82719776² = 13685122682980352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82719776.

It is not an unprimeable number, because it can be changed into a prime (82719779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122576 + ... + 123248.

It is an arithmetic number, because the mean of its divisors is an integer number (3566808).

Almost surely, 2^82719776 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 82719776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85603392).

82719776 is an abundant number, since it is smaller than the sum of its proper divisors (88487008).

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

82719776 is a wasteful number, since it uses less digits than its factorization.

82719776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its digits is 296352, while the sum is 47.

The square root of 82719776 is about 9095.0412863274. The cubic root of 82719776 is about 435.7156072598.

The spelling of 82719776 in words is "eighty-two million, seven hundred nineteen thousand, seven hundred seventy-six".