82842238080 has 768 divisors, whose sum is σ = 346181472000. Its totient is φ = 18923175936.

The previous prime is 82842238057. The next prime is 82842238081. The reversal of 82842238080 is 8083224828.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82842238081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53342584 + ... + 53344136.

It is an arithmetic number, because the mean of its divisors is an integer number (450757125).

Almost surely, 2^82842238080 is an apocalyptic number.

82842238080 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 82842238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173090736000).

82842238080 is an abundant number, since it is smaller than the sum of its proper divisors (263339233920).

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

82842238080 is an equidigital number, since it uses as much as digits as its factorization.

82842238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 82842238080 in words is "eighty-two billion, eight hundred forty-two million, two hundred thirty-eight thousand, eighty".