7959936 has 64 divisors (see below), whose sum is σ = 22276800. Its totient is φ = 2511360.

The previous prime is 7959929. The next prime is 7959937. The reversal of 7959936 is 6399597.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7959936² = 126721162248192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7959937) 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 7 ways as a sum of consecutive naturals, for example, 6751 + ... + 7841.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^7959936 is an apocalyptic number.

7959936 is a gapful number since it is divisible by the number (76) 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 7959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400).

7959936 is an abundant number, since it is smaller than the sum of its proper divisors (14316864).

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

7959936 is a wasteful number, since it uses less digits than its factorization.

7959936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1115 counting only the distinct ones).

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

The square root of 7959936 is about 2821.3358538111. The cubic root of 7959936 is about 199.6655744428.

It can be divided in two parts, 795 and 9936, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 7959936 in words is "seven million, nine hundred fifty-nine thousand, nine hundred thirty-six".