875505400 has 192 divisors, whose sum is σ = 2562336000. Its totient is φ = 270259200.

The previous prime is 875505383. The next prime is 875505403. The reversal of 875505400 is 4505578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875505403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140396 + ... + 2140804.

It is an arithmetic number, because the mean of its divisors is an integer number (13345500).

Almost surely, 2^875505400 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 875505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281168000).

875505400 is an abundant number, since it is smaller than the sum of its proper divisors (1686830600).

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

875505400 is a wasteful number, since it uses less digits than its factorization.

875505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 875505400 is about 29588.9405014779. The cubic root of 875505400 is about 956.6497074508.

The spelling of 875505400 in words is "eight hundred seventy-five million, five hundred five thousand, four hundred".