79085448 has 96 divisors (see below), whose sum is σ = 242860800. Its totient is φ = 23048064.

The previous prime is 79085437. The next prime is 79085459. The reversal of 79085448 is 84458097.

It is a Cunningham number, because it is equal to 8893²-1.

It is an interprime number because it is at equal distance from previous prime (79085437) and next prime (79085459).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15561 + ... + 20007.

It is an arithmetic number, because the mean of its divisors is an integer number (2529800).

Almost surely, 2^79085448 is an apocalyptic number.

79085448 is a gapful number since it is divisible by the number (78) 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 79085448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121430400).

79085448 is an abundant number, since it is smaller than the sum of its proper divisors (163775352).

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

79085448 is a wasteful number, since it uses less digits than its factorization.

79085448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 79085448 is about 8892.9999437760. Note that the first 4 decimals coincide. The cubic root of 79085448 is about 429.2386889568.

The spelling of 79085448 in words is "seventy-nine million, eighty-five thousand, four hundred forty-eight".