79692019200 has 720 divisors, whose sum is σ = 313456366080. Its totient is φ = 19245219840.

The previous prime is 79692019189. The next prime is 79692019217. The reversal of 79692019200 is 291029697.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50341609 + ... + 50343191.

It is an arithmetic number, because the mean of its divisors is an integer number (435356064).

Almost surely, 2^79692019200 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 79692019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156728183040).

79692019200 is an abundant number, since it is smaller than the sum of its proper divisors (233764346880).

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

79692019200 is a wasteful number, since it uses less digits than its factorization.

79692019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 79692019200 in words is "seventy-nine billion, six hundred ninety-two million, nineteen thousand, two hundred".