791200327680 has 1920 divisors, whose sum is σ = 3470526259200. Its totient is φ = 168552824832.

The previous prime is 791200327667. The next prime is 791200327721. The reversal of 791200327680 is 86723002197.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 6229923777 + ... + 6229923903.

It is an arithmetic number, because the mean of its divisors is an integer number (1807565760).

Almost surely, 2^791200327680 is an apocalyptic number.

791200327680 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 791200327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735263129600).

791200327680 is an abundant number, since it is smaller than the sum of its proper divisors (2679325931520).

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

791200327680 is a wasteful number, since it uses less digits than its factorization.

791200327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 791200327680 in words is "seven hundred ninety-one billion, two hundred million, three hundred twenty-seven thousand, six hundred eighty".