82395820080 has 640 divisors, whose sum is σ = 349417635840. Its totient is φ = 17431096320.

The previous prime is 82395820043. The next prime is 82395820097. The reversal of 82395820080 is 8002859328.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10776739 + ... + 10784381.

It is an arithmetic number, because the mean of its divisors is an integer number (545965056).

Almost surely, 2^82395820080 is an apocalyptic number.

82395820080 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 82395820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174708817920).

82395820080 is an abundant number, since it is smaller than the sum of its proper divisors (267021815760).

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

82395820080 is a wasteful number, since it uses less digits than its factorization.

82395820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 82395820080 in words is "eighty-two billion, three hundred ninety-five million, eight hundred twenty thousand, eighty".