7875417000 has 128 divisors (see below), whose sum is σ = 26805168000. Its totient is φ = 1909184000.

The previous prime is 7875416993. The next prime is 7875417001. The reversal of 7875417000 is 7145787.

It is a self number, because there is not a number n which added to its sum of digits gives 7875417000.

It is not an unprimeable number, because it can be changed into a prime (7875417001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86325 + ... + 152324.

It is an arithmetic number, because the mean of its divisors is an integer number (209415375).

Almost surely, 2^7875417000 is an apocalyptic number.

It is an amenable number.

7875417000 is an abundant number, since it is smaller than the sum of its proper divisors (18929751000).

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

7875417000 is a wasteful number, since it uses less digits than its factorization.

7875417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238684 (or 238670 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 7875417000 is about 88743.5462442199. The cubic root of 7875417000 is about 1989.5637200872.

The spelling of 7875417000 in words is "seven billion, eight hundred seventy-five million, four hundred seventeen thousand".