79221664080 has 240 divisors, whose sum is σ = 296399310480. Its totient is φ = 18828214272.

The previous prime is 79221664063. The next prime is 79221664097. The reversal of 79221664080 is 8046612297.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (79221664063) and next prime (79221664097).

It can be written as a sum of positive squares in 8 ways, for example, as 17745436944 + 61476227136 = 133212^2 + 247944^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125512 + ... + 417368.

It is an arithmetic number, because the mean of its divisors is an integer number (1234997127).

Almost surely, 2^79221664080 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 79221664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148199655240).

79221664080 is an abundant number, since it is smaller than the sum of its proper divisors (217177646400).

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

79221664080 is a wasteful number, since it uses less digits than its factorization.

79221664080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291918 (or 291909 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79221664080 in words is "seventy-nine billion, two hundred twenty-one million, six hundred sixty-four thousand, eighty".