79141363200 has 960 divisors, whose sum is σ = 306880358400. Its totient is φ = 19950796800.

The previous prime is 79141363193. The next prime is 79141363201. The reversal of 79141363200 is 236314197.

79141363200 is a `hidden beast` number, since 7 + 9 + 1 + 4 + 13 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79141363201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 889228756 + ... + 889228844.

It is an arithmetic number, because the mean of its divisors is an integer number (319667040).

Almost surely, 2^79141363200 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 79141363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153440179200).

79141363200 is an abundant number, since it is smaller than the sum of its proper divisors (227738995200).

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

79141363200 is a wasteful number, since it uses less digits than its factorization.

79141363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 79141363200 its reverse (236314197), we get a palindrome (79377677397).

The spelling of 79141363200 in words is "seventy-nine billion, one hundred forty-one million, three hundred sixty-three thousand, two hundred".