875384160 has 192 divisors, whose sum is σ = 3203794944. Its totient is φ = 196761600.

The previous prime is 875384149. The next prime is 875384177. The reversal of 875384160 is 61483578.

It is a super-3 number, since 3×875384160³ (a number of 28 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 202825 + ... + 207095.

It is an arithmetic number, because the mean of its divisors is an integer number (16686432).

Almost surely, 2^875384160 is an apocalyptic number.

875384160 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 875384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601897472).

875384160 is an abundant number, since it is smaller than the sum of its proper divisors (2328410784).

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

875384160 is a wasteful number, since it uses less digits than its factorization.

875384160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 875384160 is about 29586.8916920991. The cubic root of 875384160 is about 956.6055464573.

The spelling of 875384160 in words is "eight hundred seventy-five million, three hundred eighty-four thousand, one hundred sixty".