79408 has 20 divisors (see below), whose sum is σ = 176080. Its totient is φ = 33984.

The previous prime is 79399. The next prime is 79411. The reversal of 79408 is 80497.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is an unprimeable number.

79408 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 243 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (8804).

2⁷⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

79408 is an abundant number, since it is smaller than the sum of its proper divisors (96672).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88040).

79408 is a wasteful number, since it uses less digits than its factorization.

79408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 79408 is about 281.7942511834. The cubic root of 79408 is about 42.9821451020.

Subtracting 79408 from its reverse (80497), we obtain a square (1089 = 33²).

It can be divided in two parts, 7 and 9408, that multiplied together give a palindrome (65856).

The spelling of 79408 in words is "seventy-nine thousand, four hundred eight".