79105129600 has 384 divisors, whose sum is σ = 230547744000. Its totient is φ = 26806026240.

The previous prime is 79105129591. The next prime is 79105129619. The reversal of 79105129600 is 692150197.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106466829 + ... + 106467571.

It is an arithmetic number, because the mean of its divisors is an integer number (600384750).

Almost surely, 2^79105129600 is an apocalyptic number.

79105129600 is a gapful number since it is divisible by the number (70) 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 79105129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115273872000).

79105129600 is an abundant number, since it is smaller than the sum of its proper divisors (151442614400).

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

79105129600 is an equidigital number, since it uses as much as digits as its factorization.

79105129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

Adding to 79105129600 its reverse (692150197), we get a palindrome (79797279797).

The spelling of 79105129600 in words is "seventy-nine billion, one hundred five million, one hundred twenty-nine thousand, six hundred".