875293440 has 144 divisors (see below), whose sum is σ = 3194919168. Its totient is φ = 200060928.

The previous prime is 875293429. The next prime is 875293459. The reversal of 875293440 is 44392578.

It is a super-2 number, since 2×875293440² = 1532277212214067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 875293392 and 875293401.

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 15 ways as a sum of consecutive naturals, for example, 10599 + ... + 43161.

Almost surely, 2^875293440 is an apocalyptic number.

875293440 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 875293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597459584).

875293440 is an abundant number, since it is smaller than the sum of its proper divisors (2319625728).

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

875293440 is a wasteful number, since it uses less digits than its factorization.

875293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32594 (or 32580 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 875293440 is about 29585.3585410081. The cubic root of 875293440 is about 956.5724995364.

The spelling of 875293440 in words is "eight hundred seventy-five million, two hundred ninety-three thousand, four hundred forty".