794829127680 has 1728 divisors, whose sum is σ = 3517564796928. Its totient is φ = 168170618880.

The previous prime is 794829127679. The next prime is 794829127699. The reversal of 794829127680 is 86721928497.

794829127680 is a `hidden beast` number, since 7 + 9 + 482 + 9 + 1 + 2 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25639649265 + ... + 25639649295.

It is an arithmetic number, because the mean of its divisors is an integer number (2035627776).

Almost surely, 2^794829127680 is an apocalyptic number.

794829127680 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 794829127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758782398464).

794829127680 is an abundant number, since it is smaller than the sum of its proper divisors (2722735669248).

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

794829127680 is an frugal number, since it uses more digits than its factorization.

794829127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 794829127680 in words is "seven hundred ninety-four billion, eight hundred twenty-nine million, one hundred twenty-seven thousand, six hundred eighty".