82877877060 has 192 divisors, whose sum is σ = 254961229824. Its totient is φ = 19948748800.

The previous prime is 82877877031. The next prime is 82877877067. The reversal of 82877877060 is 6077877828.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 82877876985 and 82877877003.

It is not an unprimeable number, because it can be changed into a prime (82877877067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96034189 + ... + 96035051.

It is an arithmetic number, because the mean of its divisors is an integer number (1327923072).

Almost surely, 2^82877877060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82877877060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127480614912).

82877877060 is an abundant number, since it is smaller than the sum of its proper divisors (172083352764).

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

82877877060 is a wasteful number, since it uses less digits than its factorization.

82877877060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 60.

The spelling of 82877877060 in words is "eighty-two billion, eight hundred seventy-seven million, eight hundred seventy-seven thousand, sixty".