82831180800 has 264 divisors, whose sum is σ = 289869545376. Its totient is φ = 20788674560.

The previous prime is 82831180799. The next prime is 82831180807. The reversal of 82831180800 is 808113828.

It is a super-2 number, since 2×82831180800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82831180807) 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 23 ways as a sum of consecutive naturals, for example, 1273879 + ... + 1337321.

Almost surely, 2^82831180800 is an apocalyptic number.

82831180800 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 82831180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144934772688).

82831180800 is an abundant number, since it is smaller than the sum of its proper divisors (207038364576).

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

82831180800 is a wasteful number, since it uses less digits than its factorization.

82831180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63493 (or 63470 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 82831180800 in words is "eighty-two billion, eight hundred thirty-one million, one hundred eighty thousand, eight hundred".