82227758800 has 120 divisors (see below), whose sum is σ = 216415969920. Its totient is φ = 29775513600.

The previous prime is 82227758773. The next prime is 82227758807. The reversal of 82227758800 is 885772228.

It is a super-2 number, since 2×82227758800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82227758807) 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, 1012504 + ... + 1090696.

It is an arithmetic number, because the mean of its divisors is an integer number (1803466416).

Almost surely, 2^82227758800 is an apocalyptic number.

82227758800 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 82227758800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108207984960).

82227758800 is an abundant number, since it is smaller than the sum of its proper divisors (134188211120).

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

82227758800 is a wasteful number, since it uses less digits than its factorization.

82227758800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78461 (or 78450 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 49.

The spelling of 82227758800 in words is "eighty-two billion, two hundred twenty-seven million, seven hundred fifty-eight thousand, eight hundred".