876975840 has 288 divisors, whose sum is σ = 3269185920. Its totient is φ = 212779008.

The previous prime is 876975811. The next prime is 876975877. The reversal of 876975840 is 48579678.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1478584 + ... + 1479176.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^876975840 is an apocalyptic number.

876975840 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 876975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634592960).

876975840 is an abundant number, since it is smaller than the sum of its proper divisors (2392210080).

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

876975840 is a wasteful number, since it uses less digits than its factorization.

876975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 876975840 is about 29613.7778744962. Note that the first 3 decimals coincide. The cubic root of 876975840 is about 957.1849827326.

The spelling of 876975840 in words is "eight hundred seventy-six million, nine hundred seventy-five thousand, eight hundred forty".