875390400 has 504 divisors, whose sum is σ = 3360749184. Its totient is φ = 215654400.

The previous prime is 875390387. The next prime is 875390413. The reversal of 875390400 is 4093578.

875390400 is a `hidden beast` number, since 87 + 539 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (875390387) and next prime (875390413).

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

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 71 ways as a sum of consecutive naturals, for example, 16516774 + ... + 16516826.

Almost surely, 2^875390400 is an apocalyptic number.

875390400 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 875390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680374592).

875390400 is an abundant number, since it is smaller than the sum of its proper divisors (2485358784).

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

875390400 is a wasteful number, since it uses less digits than its factorization.

875390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 875390400 is about 29586.9971440158. The cubic root of 875390400 is about 956.6078194420.

The spelling of 875390400 in words is "eight hundred seventy-five million, three hundred ninety thousand, four hundred".