875828160 has 224 divisors, whose sum is σ = 3113349120. Its totient is φ = 231773184.

The previous prime is 875828153. The next prime is 875828209. The reversal of 875828160 is 61828578.

875828160 is a `hidden beast` number, since 8 + 7 + 582 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442577 + ... + 1443183.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2^875828160 is an apocalyptic number.

875828160 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 875828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

875828160 is an abundant number, since it is smaller than the sum of its proper divisors (2237520960).

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

875828160 is a wasteful number, since it uses less digits than its factorization.

875828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 875828160 is about 29594.3940637412. The cubic root of 875828160 is about 956.7672511097.

The spelling of 875828160 in words is "eight hundred seventy-five million, eight hundred twenty-eight thousand, one hundred sixty".