875671120 has 80 divisors (see below), whose sum is σ = 2072434320. Its totient is φ = 344051712.

The previous prime is 875671117. The next prime is 875671123. The reversal of 875671120 is 21176578.

It is an interprime number because it is at equal distance from previous prime (875671117) and next prime (875671123).

It can be written as a sum of positive squares in 8 ways, for example, as 128414224 + 747256896 = 11332^2 + 27336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 875671120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875671123) 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, 1194274 + ... + 1195006.

It is an arithmetic number, because the mean of its divisors is an integer number (25905429).

Almost surely, 2^875671120 is an apocalyptic number.

875671120 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 875671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036217160).

875671120 is an abundant number, since it is smaller than the sum of its proper divisors (1196763200).

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

875671120 is a wasteful number, since it uses less digits than its factorization.

875671120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 875671120 is about 29591.7407396050. The cubic root of 875671120 is about 956.7100634416.

The spelling of 875671120 in words is "eight hundred seventy-five million, six hundred seventy-one thousand, one hundred twenty".