79017210000 has 225 divisors, whose sum is σ = 276629825901. Its totient is φ = 21048768000.

The previous prime is 79017209959. The next prime is 79017210007. The reversal of 79017210000 is 1271097.

The square root of 79017210000 is 281100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 78801472656 + 215737344 = 280716^2 + 14688^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not an unprimeable number, because it can be changed into a prime (79017210007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 84329532 + ... + 84330468.

Almost surely, 2^79017210000 is an apocalyptic number.

79017210000 is the 281100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79017210000

79017210000 is an abundant number, since it is smaller than the sum of its proper divisors (197612615901).

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

79017210000 is an frugal number, since it uses more digits than its factorization.

79017210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

Adding to 79017210000 its reverse (1271097), we get a palindrome (79018481097).

The spelling of 79017210000 in words is "seventy-nine billion, seventeen million, two hundred ten thousand".