79916479200 has 288 divisors, whose sum is σ = 292605959520. Its totient is φ = 21310594560.

The previous prime is 79916479193. The next prime is 79916479207. The reversal of 79916479200 is 297461997.

It is an interprime number because it is at equal distance from previous prime (79916479193) and next prime (79916479207).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79916479207) 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, 1726762 + ... + 1772438.

It is an arithmetic number, because the mean of its divisors is an integer number (1015992915).

Almost surely, 2^79916479200 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 79916479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146302979760).

79916479200 is an abundant number, since it is smaller than the sum of its proper divisors (212689480320).

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

79916479200 is an equidigital number, since it uses as much as digits as its factorization.

79916479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45718 (or 45687 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 79916479200 in words is "seventy-nine billion, nine hundred sixteen million, four hundred seventy-nine thousand, two hundred".