82270310400 has 234 divisors, whose sum is σ = 294677859710. Its totient is φ = 21938503680.

The previous prime is 82270310399. The next prime is 82270310401. The reversal of 82270310400 is 401307228.

82270310400 is a `hidden beast` number, since 8 + 227 + 0 + 31 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (82270310399) and next prime (82270310401).

It can be written as a sum of positive squares in 3 ways, for example, as 2176782336 + 80093528064 = 46656^2 + 283008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82270310401) 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 17 ways as a sum of consecutive naturals, for example, 876966 + ... + 966234.

Almost surely, 2^82270310400 is an apocalyptic number.

82270310400 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 82270310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147338929855).

82270310400 is an abundant number, since it is smaller than the sum of its proper divisors (212407549310).

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

82270310400 is a wasteful number, since it uses less digits than its factorization.

82270310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89309 (or 89279 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 82270310400 its reverse (401307228), we get a palindrome (82671617628).

The spelling of 82270310400 in words is "eighty-two billion, two hundred seventy million, three hundred ten thousand, four hundred".