875824040 has 192 divisors, whose sum is σ = 2538118800. Its totient is φ = 269402112.

The previous prime is 875824013. The next prime is 875824049. The reversal of 875824040 is 40428578.

It can be written as a sum of positive squares in 8 ways, for example, as 148011556 + 727812484 = 12166^2 + 26978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 875823985 and 875824003.

It is not an unprimeable number, because it can be changed into a prime (875824049) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 942296 + ... + 943224.

Almost surely, 2^875824040 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 875824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269059400).

875824040 is an abundant number, since it is smaller than the sum of its proper divisors (1662294760).

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

875824040 is a wasteful number, since it uses less digits than its factorization.

875824040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 875824040 is about 29594.3244558817. The cubic root of 875824040 is about 956.7657508583.

The spelling of 875824040 in words is "eight hundred seventy-five million, eight hundred twenty-four thousand, forty".