876321884160 has 192 divisors, whose sum is σ = 3115051430400. Its totient is φ = 233685762048.

The previous prime is 876321884153. The next prime is 876321884161. The reversal of 876321884160 is 61488123678.

876321884160 is a `hidden beast` number, since 8 + 7 + 6 + 3 + 218 + 8 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 876321884097 and 876321884106.

It is not an unprimeable number, because it can be changed into a prime (876321884161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308304 + ... + 1861263.

It is an arithmetic number, because the mean of its divisors is an integer number (16224226200).

Almost surely, 2^876321884160 is an apocalyptic number.

876321884160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

876321884160 is an abundant number, since it is smaller than the sum of its proper divisors (2238729546240).

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

876321884160 is a wasteful number, since it uses less digits than its factorization.

876321884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169603 (or 3169577 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 876321884160 in words is "eight hundred seventy-six billion, three hundred twenty-one million, eight hundred eighty-four thousand, one hundred sixty".