79344288000 has 648 divisors, whose sum is σ = 294259656600. Its totient is φ = 20527718400.

The previous prime is 79344287987. The next prime is 79344288007. The reversal of 79344288000 is 88244397.

It can be written as a sum of positive squares in 4 ways, for example, as 13841051904 + 65503236096 = 117648^2 + 255936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79344288007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 532511926 + ... + 532512074.

Almost surely, 2^79344288000 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 79344288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147129828300).

79344288000 is an abundant number, since it is smaller than the sum of its proper divisors (214915368600).

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

79344288000 is a wasteful number, since it uses less digits than its factorization.

79344288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 79344288000 in words is "seventy-nine billion, three hundred forty-four million, two hundred eighty-eight thousand".