8079148224 has 448 divisors, whose sum is σ = 28431744000. Its totient is φ = 2247533568.

The previous prime is 8079148223. The next prime is 8079148279. The reversal of 8079148224 is 4228419708.

8079148224 is a `hidden beast` number, since 80 + 7 + 91 + 482 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 8079148224.

It is not an unprimeable number, because it can be changed into a prime (8079148223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25486114 + ... + 25486430.

Almost surely, 2^8079148224 is an apocalyptic number.

8079148224 is a gapful number since it is divisible by the number (84) 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 8079148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215872000).

8079148224 is an abundant number, since it is smaller than the sum of its proper divisors (20352595776).

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

8079148224 is a wasteful number, since it uses less digits than its factorization.

8079148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8079148224 is about 89884.0821502895. The cubic root of 8079148224 is about 2006.5740525732.

The spelling of 8079148224 in words is "eight billion, seventy-nine million, one hundred forty-eight thousand, two hundred twenty-four".