79201248 has 144 divisors (see below), whose sum is σ = 245624400. Its totient is φ = 22278144.

The previous prime is 79201247. The next prime is 79201261. The reversal of 79201248 is 84210297.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79201247) 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 23 ways as a sum of consecutive naturals, for example, 531478 + ... + 531626.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725).

Almost surely, 2^79201248 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 79201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122812200).

79201248 is an abundant number, since it is smaller than the sum of its proper divisors (166423152).

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

79201248 is a wasteful number, since it uses less digits than its factorization.

79201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 79201248 is about 8899.5083010243. The cubic root of 79201248 is about 429.4480894670.

The spelling of 79201248 in words is "seventy-nine million, two hundred one thousand, two hundred forty-eight".