82719000 has 384 divisors, whose sum is σ = 347518080. Its totient is φ = 17280000.

The previous prime is 82718983. The next prime is 82719011. The reversal of 82719000 is 91728.

It is a super-2 number, since 2×82719000² = 13684865922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818950 + ... + 819050.

It is an arithmetic number, because the mean of its divisors is an integer number (904995).

Almost surely, 2^82719000 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 82719000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

82719000 is an abundant number, since it is smaller than the sum of its proper divisors (264799080).

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

82719000 is a wasteful number, since it uses less digits than its factorization.

82719000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 82719000 is about 9094.9986256184. The cubic root of 82719000 is about 435.7142447627.

It can be divided in two parts, 8271 and 9000, that added together give a palindrome (17271).

The spelling of 82719000 in words is "eighty-two million, seven hundred nineteen thousand".