7836768 has 36 divisors (see below), whose sum is σ = 22286628. Its totient is φ = 2612160.

The previous prime is 7836761. The next prime is 7836791. The reversal of 7836768 is 8676387.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7836768² = 122829865371648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7836761) 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 5 ways as a sum of consecutive naturals, for example, 13318 + ... + 13893.

It is an arithmetic number, because the mean of its divisors is an integer number (619073).

Almost surely, 2^7836768 is an apocalyptic number.

It is an amenable number.

7836768 is an abundant number, since it is smaller than the sum of its proper divisors (14449860).

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

7836768 is a wasteful number, since it uses less digits than its factorization.

7836768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27227 (or 27216 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7836768 is about 2799.4227976495. The cubic root of 7836768 is about 198.6303753857.

The spelling of 7836768 in words is "seven million, eight hundred thirty-six thousand, seven hundred sixty-eight".