7995936 has 96 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 2386944.

The previous prime is 7995931. The next prime is 7995937. The reversal of 7995936 is 6395997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

Its product of digits (459270) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (7995931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53590 + ... + 53738.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 2^7995936 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 7995936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

7995936 is an abundant number, since it is smaller than the sum of its proper divisors (15288864).

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

7995936 is a wasteful number, since it uses less digits than its factorization.

7995936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 459270, while the sum is 48.

The square root of 7995936 is about 2827.7086129939. The cubic root of 7995936 is about 199.9661275970.

The spelling of 7995936 in words is "seven million, nine hundred ninety-five thousand, nine hundred thirty-six".