875983680 has 448 divisors, whose sum is σ = 3635654400. Its totient is φ = 195747840.

The previous prime is 875983663. The next prime is 875983687. The reversal of 875983680 is 86389578.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875983687) 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 63 ways as a sum of consecutive naturals, for example, 1235166 + ... + 1235874.

It is an arithmetic number, because the mean of its divisors is an integer number (8115300).

Almost surely, 2^875983680 is an apocalyptic number.

875983680 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 875983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817827200).

875983680 is an abundant number, since it is smaller than the sum of its proper divisors (2759670720).

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

875983680 is a wasteful number, since it uses less digits than its factorization.

875983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 875983680 is about 29597.0214717630. The cubic root of 875983680 is about 956.8238785180.

The spelling of 875983680 in words is "eight hundred seventy-five million, nine hundred eighty-three thousand, six hundred eighty".