79906315200 has 336 divisors, whose sum is σ = 269154737280. Its totient is φ = 20743188480.

The previous prime is 79906315193. The next prime is 79906315207. The reversal of 79906315200 is 251360997.

It is an interprime number because it is at equal distance from previous prime (79906315193) and next prime (79906315207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79906315207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96388386 + ... + 96389214.

Almost surely, 2^79906315200 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 79906315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134577368640).

79906315200 is an abundant number, since it is smaller than the sum of its proper divisors (189248422080).

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

79906315200 is a wasteful number, since it uses less digits than its factorization.

79906315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 79906315200 in words is "seventy-nine billion, nine hundred six million, three hundred fifteen thousand, two hundred".