830122270560 has 768 divisors, whose sum is σ = 3304170455040. Its totient is φ = 192824064000.

The previous prime is 830122270553. The next prime is 830122270567. The reversal of 830122270560 is 65072221038.

830122270560 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 2 + 22 + 70 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (830122270553) and next prime (830122270567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830122270567) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 151728625 + ... + 151734095.

It is an arithmetic number, because the mean of its divisors is an integer number (4302305280).

Almost surely, 2^830122270560 is an apocalyptic number.

830122270560 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 830122270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652085227520).

830122270560 is an abundant number, since it is smaller than the sum of its proper divisors (2474048184480).

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

830122270560 is a wasteful number, since it uses less digits than its factorization.

830122270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 830122270560 its reverse (65072221038), we get a palindrome (895194491598).

The spelling of 830122270560 in words is "eight hundred thirty billion, one hundred twenty-two million, two hundred seventy thousand, five hundred sixty".