875082384 has 240 divisors, whose sum is σ = 2807820288. Its totient is φ = 252000000.

The previous prime is 875082371. The next prime is 875082389. The reversal of 875082384 is 483280578.

It is a super-3 number, since 3×875082384³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (875082389) 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, 3486259 + ... + 3486509.

Almost surely, 2^875082384 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 875082384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403910144).

875082384 is an abundant number, since it is smaller than the sum of its proper divisors (1932737904).

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

875082384 is a wasteful number, since it uses less digits than its factorization.

875082384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 875082384 is about 29581.7914264840. The cubic root of 875082384 is about 956.4956085246.

The spelling of 875082384 in words is "eight hundred seventy-five million, eighty-two thousand, three hundred eighty-four".