82827106880 has 336 divisors, whose sum is σ = 241048275840. Its totient is φ = 26977370112.

The previous prime is 82827106837. The next prime is 82827106883. The reversal of 82827106880 is 8860172828.

It is a super-2 number, since 2×82827106880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82827106883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58783616 + ... + 58785024.

Almost surely, 2^82827106880 is an apocalyptic number.

82827106880 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 82827106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120524137920).

82827106880 is an abundant number, since it is smaller than the sum of its proper divisors (158221168960).

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

82827106880 is a wasteful number, since it uses less digits than its factorization.

82827106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The spelling of 82827106880 in words is "eighty-two billion, eight hundred twenty-seven million, one hundred six thousand, eight hundred eighty".