82876116960 has 576 divisors, whose sum is σ = 354676952448. Its totient is φ = 17154588672.

The previous prime is 82876116949. The next prime is 82876116979. The reversal of 82876116960 is 6961167828.

It is a junction number, because it is equal to n+sod(n) for n = 82876116897 and 82876116906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6939154 + ... + 6951086.

It is an arithmetic number, because the mean of its divisors is an integer number (615758598).

Almost surely, 2^82876116960 is an apocalyptic number.

82876116960 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 82876116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177338476224).

82876116960 is an abundant number, since it is smaller than the sum of its proper divisors (271800835488).

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

82876116960 is a wasteful number, since it uses less digits than its factorization.

82876116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 82876116960 in words is "eighty-two billion, eight hundred seventy-six million, one hundred sixteen thousand, nine hundred sixty".