79744204800 has 594 divisors, whose sum is σ = 309325651947. Its totient is φ = 19629342720.

The previous prime is 79744204739. The next prime is 79744204801. The reversal of 79744204800 is 840244797.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4992270336 + 74751934464 = 70656^2 + 273408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=199680.

It is a super-3 number, since 3×79744204800³ (a number of 34 digits) contains 333 as substring.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (79744204801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6134169594 + ... + 6134169606.

Almost surely, 2^79744204800 is an apocalyptic number.

79744204800 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79744204800

79744204800 is an abundant number, since it is smaller than the sum of its proper divisors (229581447147).

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

79744204800 is an frugal number, since it uses more digits than its factorization.

79744204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 79744204800 in words is "seventy-nine billion, seven hundred forty-four million, two hundred four thousand, eight hundred".