79005344 has 48 divisors (see below), whose sum is σ = 178627680. Its totient is φ = 34018560.

The previous prime is 79005301. The next prime is 79005347. The reversal of 79005344 is 44350097.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 79005344.

It is not an unprimeable number, because it can be changed into a prime (79005347) 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, 782 + ... + 12594.

It is an arithmetic number, because the mean of its divisors is an integer number (3721410).

Almost surely, 2^79005344 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 79005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89313840).

79005344 is an abundant number, since it is smaller than the sum of its proper divisors (99622336).

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

79005344 is a wasteful number, since it uses less digits than its factorization.

79005344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 79005344 is about 8888.4950357189. The cubic root of 79005344 is about 429.0937176960.

It can be divided in two parts, 790053 and 44, that added together give a palindrome (790097).

The spelling of 79005344 in words is "seventy-nine million, five thousand, three hundred forty-four".