875128320 has 320 divisors, whose sum is σ = 3394068480. Its totient is φ = 211968000.

The previous prime is 875128291. The next prime is 875128327. The reversal of 875128320 is 23821578.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875128327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759745 + ... + 760895.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^875128320 is an apocalyptic number.

875128320 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 875128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

875128320 is an abundant number, since it is smaller than the sum of its proper divisors (2518940160).

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

875128320 is a wasteful number, since it uses less digits than its factorization.

875128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 875128320 is about 29582.5678398614. The cubic root of 875128320 is about 956.5123447826.

Adding to 875128320 its reverse (23821578), we get a palindrome (898949898).

The spelling of 875128320 in words is "eight hundred seventy-five million, one hundred twenty-eight thousand, three hundred twenty".