876331680 has 576 divisors, whose sum is σ = 3536991360. Its totient is φ = 181149696.

The previous prime is 876331669. The next prime is 876331681. The reversal of 876331680 is 86133678.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (876331681) 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 95 ways as a sum of consecutive naturals, for example, 16534534 + ... + 16534586.

It is an arithmetic number, because the mean of its divisors is an integer number (6140610).

Almost surely, 2^876331680 is an apocalyptic number.

876331680 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 876331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768495680).

876331680 is an abundant number, since it is smaller than the sum of its proper divisors (2660659680).

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

876331680 is a wasteful number, since it uses less digits than its factorization.

876331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 876331680 is about 29602.8998579531. The cubic root of 876331680 is about 956.9505668090.

The spelling of 876331680 in words is "eight hundred seventy-six million, three hundred thirty-one thousand, six hundred eighty".