79488 has 64 divisors (see below), whose sum is σ = 244800. Its totient is φ = 25344.

The previous prime is 79481. The next prime is 79493. The reversal of 79488 is 88497.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (16128) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79481) by changing a digit.

79488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3445 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

2⁷⁹⁴⁸⁸ 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 79488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

79488 is an abundant number, since it is smaller than the sum of its proper divisors (165312).

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

79488 is a wasteful number, since it uses less digits than its factorization.

79488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 28 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 79488 is about 281.9361629873. The cubic root of 79488 is about 42.9965744522.

Adding to 79488 its sum of digits (36), we get a square (79524 = 282²).

Subtracting 79488 from its reverse (88497), we obtain a palindrome (9009).

The spelling of 79488 in words is "seventy-nine thousand, four hundred eighty-eight".