791320667258880 has 6144 divisors, whose sum is σ = 3614763801600000. Its totient is φ = 162789159075840.

The previous prime is 791320667258773. The next prime is 791320667258911. The reversal of 791320667258880 is 88852766023197.

791320667258880 is a `hidden beast` number, since 7 + 9 + 1 + 32 + 0 + 6 + 6 + 7 + 2 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a super-2 number, since 2×791320667258880² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 791320667258799 and 791320667258808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3976485765021 + ... + 3976485765219.

It is an arithmetic number, because the mean of its divisors is an integer number (588340462500).

Almost surely, 2^{791320667258880} 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 791320667258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807381900800000).

791320667258880 is an abundant number, since it is smaller than the sum of its proper divisors (2823443134341120).

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

791320667258880 is a wasteful number, since it uses less digits than its factorization.

791320667258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 791320667258880 in words is "seven hundred ninety-one trillion, three hundred twenty billion, six hundred sixty-seven million, two hundred fifty-eight thousand, eight hundred eighty".