82711000830 has 256 divisors, whose sum is σ = 226437120000. Its totient is φ = 19209332736.

The previous prime is 82711000807. The next prime is 82711000837. The reversal of 82711000830 is 3800011728.

It is a happy number.

It is a super-2 number, since 2×82711000830² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82711000837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113769927 + ... + 113770653.

It is an arithmetic number, because the mean of its divisors is an integer number (884520000).

Almost surely, 2^82711000830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82711000830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560000).

82711000830 is an abundant number, since it is smaller than the sum of its proper divisors (143726119170).

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

82711000830 is a wasteful number, since it uses less digits than its factorization.

82711000830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031.

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 82711000830 in words is "eighty-two billion, seven hundred eleven million, eight hundred thirty", and thus it is an aban number.