7887993 has 16 divisors (see below), whose sum is σ = 10889280. Its totient is φ = 5075136.

The previous prime is 7887989. The next prime is 7888007. The reversal of 7887993 is 3997887.

It is a happy number.

It is not a de Polignac number, because 7887993 - 2² = 7887989 is a prime.

It is a super-3 number, since 3×7887993³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7887923) by changing a digit.

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, 19671 + ... + 20067.

It is an arithmetic number, because the mean of its divisors is an integer number (680580).

Almost surely, 2^7887993 is an apocalyptic number.

It is an amenable number.

7887993 is a deficient number, since it is larger than the sum of its proper divisors (3001287).

7887993 is a wasteful number, since it uses less digits than its factorization.

7887993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its digits is 762048, while the sum is 51.

The square root of 7887993 is about 2808.5571028555. The cubic root of 7887993 is about 199.0622180309.

The spelling of 7887993 in words is "seven million, eight hundred eighty-seven thousand, nine hundred ninety-three".