82800459792 has 80 divisors (see below), whose sum is σ = 238545327360. Its totient is φ = 27498268800.

The previous prime is 82800459751. The next prime is 82800459799. The reversal of 82800459792 is 29795400828.

It is a super-2 number, since 2×82800459792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82800459799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236559 + ... + 470702.

It is an arithmetic number, because the mean of its divisors is an integer number (2981816592).

Almost surely, 2^82800459792 is an apocalyptic number.

It is an amenable number.

82800459792 is an abundant number, since it is smaller than the sum of its proper divisors (155744867568).

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

82800459792 is a wasteful number, since it uses less digits than its factorization.

82800459792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707549 (or 707537 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 82800459792 in words is "eighty-two billion, eight hundred million, four hundred fifty-nine thousand, seven hundred ninety-two".