875327040 has 448 divisors, whose sum is σ = 3625413120. Its totient is φ = 194641920.

The previous prime is 875327029. The next prime is 875327069. The reversal of 875327040 is 40723578.

875327040 is a `hidden beast` number, since 87 + 532 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 875326986 and 875327004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2479504 + ... + 2479856.

It is an arithmetic number, because the mean of its divisors is an integer number (8092440).

Almost surely, 2^875327040 is an apocalyptic number.

875327040 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 875327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812706560).

875327040 is an abundant number, since it is smaller than the sum of its proper divisors (2750086080).

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

875327040 is a wasteful number, since it uses less digits than its factorization.

875327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 875327040 is about 29585.9263840090. The cubic root of 875327040 is about 956.5847394030.

The spelling of 875327040 in words is "eight hundred seventy-five million, three hundred twenty-seven thousand, forty".