82230846720 has 288 divisors, whose sum is σ = 287604535680. Its totient is φ = 19857899520.

The previous prime is 82230846683. The next prime is 82230846721. The reversal of 82230846720 is 2764803228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82230846721) 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, 11358942 + ... + 11366178.

It is an arithmetic number, because the mean of its divisors is an integer number (998626860).

Almost surely, 2^82230846720 is an apocalyptic number.

82230846720 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 82230846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143802267840).

82230846720 is an abundant number, since it is smaller than the sum of its proper divisors (205373688960).

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

82230846720 is a wasteful number, since it uses less digits than its factorization.

82230846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 82230846720 in words is "eighty-two billion, two hundred thirty million, eight hundred forty-six thousand, seven hundred twenty".