876936060 has 576 divisors, whose sum is σ = 3710214144. Its totient is φ = 161740800.

The previous prime is 876936059. The next prime is 876936077. The reversal of 876936060 is 60639678.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 876935997 and 876936015.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5585502 + ... + 5585658.

It is an arithmetic number, because the mean of its divisors is an integer number (6441344).

Almost surely, 2^876936060 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 876936060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855107072).

876936060 is an abundant number, since it is smaller than the sum of its proper divisors (2833278084).

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

876936060 is a wasteful number, since it uses less digits than its factorization.

876936060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 876936060 is about 29613.1062200506. The cubic root of 876936060 is about 957.1705097401.

The spelling of 876936060 in words is "eight hundred seventy-six million, nine hundred thirty-six thousand, sixty".