79296 has 56 divisors (see below), whose sum is σ = 243840. Its totient is φ = 22272.

The previous prime is 79283. The next prime is 79301. The reversal of 79296 is 69297.

It is a tau number, because it is divible by the number of its divisors (56).

Its product of digits (6804) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1315 + ... + 1373.

2⁷⁹²⁹⁶ 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 79296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

79296 is an abundant number, since it is smaller than the sum of its proper divisors (164544).

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

79296 is a wasteful number, since it uses less digits than its factorization.

79296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 79296 is about 281.5954545088. The cubic root of 79296 is about 42.9619277213.

Subtracting from 79296 its reverse (69297), we obtain a palindrome (9999).

It can be divided in two parts, 7929 and 6, that multiplied together give a palindrome (47574).

The spelling of 79296 in words is "seventy-nine thousand, two hundred ninety-six".