82726140800 has 96 divisors (see below), whose sum is σ = 206656304400. Its totient is φ = 32718540800.

The previous prime is 82726140737. The next prime is 82726140811. The reversal of 82726140800 is 804162728.

It is a super-2 number, since 2×82726140800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139565 + ... + 430035.

Almost surely, 2^82726140800 is an apocalyptic number.

82726140800 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 82726140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103328152200).

82726140800 is an abundant number, since it is smaller than the sum of its proper divisors (123930163600).

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

82726140800 is a wasteful number, since it uses less digits than its factorization.

82726140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290584 (or 290567 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 82726140800 in words is "eighty-two billion, seven hundred twenty-six million, one hundred forty thousand, eight hundred".