82305034080 has 192 divisors, whose sum is σ = 265788407808. Its totient is φ = 21397340160.

The previous prime is 82305034073. The next prime is 82305034087. The reversal of 82305034080 is 8043050328.

It is an interprime number because it is at equal distance from previous prime (82305034073) and next prime (82305034087).

It is a super-2 number, since 2×82305034080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82305034087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11905825 + ... + 11912735.

It is an arithmetic number, because the mean of its divisors is an integer number (1384314624).

Almost surely, 2^82305034080 is an apocalyptic number.

82305034080 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 82305034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132894203904).

82305034080 is an abundant number, since it is smaller than the sum of its proper divisors (183483373728).

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

82305034080 is a wasteful number, since it uses less digits than its factorization.

82305034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 82305034080 in words is "eighty-two billion, three hundred five million, thirty-four thousand, eighty".