79709583408 has 640 divisors, whose sum is σ = 288481536000. Its totient is φ = 18728091648.

The previous prime is 79709583377. The next prime is 79709583409. The reversal of 79709583408 is 80438590797.

It is not an unprimeable number, because it can be changed into a prime (79709583409) 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 127 ways as a sum of consecutive naturals, for example, 69131760 + ... + 69132912.

It is an arithmetic number, because the mean of its divisors is an integer number (450752400).

Almost surely, 2^79709583408 is an apocalyptic number.

79709583408 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79709583408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144240768000).

79709583408 is an abundant number, since it is smaller than the sum of its proper divisors (208771952592).

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

79709583408 is a wasteful number, since it uses less digits than its factorization.

79709583408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 79709583408 in words is "seventy-nine billion, seven hundred nine million, five hundred eighty-three thousand, four hundred eight".