79044820807680 has 6240 divisors, whose sum is σ = 388746401218560. Its totient is φ = 15169754234880.

The previous prime is 79044820807651. The next prime is 79044820807703. The reversal of 79044820807680 is 8670802844097.

79044820807680 is a `hidden beast` number, since 7 + 9 + 0 + 4 + 482 + 0 + 8 + 0 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 622400163777 + ... + 622400163903.

Almost surely, 2^{79044820807680} is an apocalyptic number.

79044820807680 is a gapful number since it is divisible by the number (70) 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 79044820807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194373200609280).

79044820807680 is an abundant number, since it is smaller than the sum of its proper divisors (309701580410880).

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

79044820807680 is a wasteful number, since it uses less digits than its factorization.

79044820807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 79044820807680 in words is "seventy-nine trillion, forty-four billion, eight hundred twenty million, eight hundred seven thousand, six hundred eighty".