875414304 has 144 divisors (see below), whose sum is σ = 2609111232. Its totient is φ = 288707328.

The previous prime is 875414299. The next prime is 875414317. The reversal of 875414304 is 403414578.

875414304 is a `hidden beast` number, since 87 + 541 + 4 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800382 + ... + 801474.

It is an arithmetic number, because the mean of its divisors is an integer number (18118828).

Almost surely, 2^875414304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304555616).

875414304 is an abundant number, since it is smaller than the sum of its proper divisors (1733696928).

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

875414304 is a wasteful number, since it uses less digits than its factorization.

875414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 875414304 is about 29587.4011024963. The cubic root of 875414304 is about 956.6165266220.

The spelling of 875414304 in words is "eight hundred seventy-five million, four hundred fourteen thousand, three hundred four".