79440808320 has 320 divisors, whose sum is σ = 292854925440. Its totient is φ = 20500439040.

The previous prime is 79440808283. The next prime is 79440808397. The reversal of 79440808320 is 2380804497.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 1582324 + ... + 1631756.

It is an arithmetic number, because the mean of its divisors is an integer number (915171642).

Almost surely, 2^79440808320 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 79440808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146427462720).

79440808320 is an abundant number, since it is smaller than the sum of its proper divisors (213414117120).

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

79440808320 is a wasteful number, since it uses less digits than its factorization.

79440808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49495 (or 49474 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 7944080 and 8320, that added together give a square (7952400 = 2820²).

The spelling of 79440808320 in words is "seventy-nine billion, four hundred forty million, eight hundred eight thousand, three hundred twenty".