82840146400 has 144 divisors (see below), whose sum is σ = 221482855440. Its totient is φ = 30005657600.

The previous prime is 82840146377. The next prime is 82840146401. The reversal of 82840146400 is 464104828.

It is a self number, because there is not a number n which added to its sum of digits gives 82840146400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82840146401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243286 + ... + 2279914.

It is an arithmetic number, because the mean of its divisors is an integer number (1538075385).

Almost surely, 2^82840146400 is an apocalyptic number.

82840146400 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 82840146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110741427720).

82840146400 is an abundant number, since it is smaller than the sum of its proper divisors (138642709040).

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

82840146400 is a wasteful number, since it uses less digits than its factorization.

82840146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36917 (or 36904 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 82840146400 in words is "eighty-two billion, eight hundred forty million, one hundred forty-six thousand, four hundred".