79753248 has 120 divisors (see below), whose sum is σ = 242868780. Its totient is φ = 25643520.

The previous prime is 79753211. The next prime is 79753319. The reversal of 79753248 is 84235797.

79753248 is a `hidden beast` number, since 79 + 7 + 532 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79067664 + 685584 = 8892^2 + 828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74638 + ... + 75698.

Almost surely, 2^79753248 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 79753248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121434390).

79753248 is an abundant number, since it is smaller than the sum of its proper divisors (163115532).

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

79753248 is a wasteful number, since it uses less digits than its factorization.

79753248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1095 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 79753248 is about 8930.4674009819. The cubic root of 79753248 is about 430.4434725279.

It can be divided in two parts, 797 and 53248, that added together give a palindrome (54045).

The spelling of 79753248 in words is "seventy-nine million, seven hundred fifty-three thousand, two hundred forty-eight".