876032017168 has 720 divisors, whose sum is σ = 2435250562560. Its totient is φ = 301161369600.

The previous prime is 876032017163. The next prime is 876032017171. The reversal of 876032017168 is 861710230678.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (876032017163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2798824180 + ... + 2798824492.

It is an arithmetic number, because the mean of its divisors is an integer number (3382292448).

Almost surely, 2^876032017168 is an apocalyptic number.

876032017168 is a gapful number since it is divisible by the number (88) 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 876032017168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217625281280).

876032017168 is an abundant number, since it is smaller than the sum of its proper divisors (1559218545392).

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

876032017168 is a wasteful number, since it uses less digits than its factorization.

876032017168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 876032017168 in words is "eight hundred seventy-six billion, thirty-two million, seventeen thousand, one hundred sixty-eight".