794214720000 has 1000 divisors, whose sum is σ = 3191419353276. Its totient is φ = 195416064000.

The previous prime is 794214719999. The next prime is 794214720001. The reversal of 794214720000 is 27412497.

It is an interprime number because it is at equal distance from previous prime (794214719999) and next prime (794214720001).

It can be written as a sum of positive squares in 10 ways, for example, as 292066746624 + 502147973376 = 540432^2 + 708624^2 .

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (794214720001) 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 99 ways as a sum of consecutive naturals, for example, 336958822 + ... + 336961178.

Almost surely, 2^794214720000 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 794214720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595709676638).

794214720000 is an abundant number, since it is smaller than the sum of its proper divisors (2397204633276).

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

794214720000 is an equidigital number, since it uses as much as digits as its factorization.

794214720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 794214720000 in words is "seven hundred ninety-four billion, two hundred fourteen million, seven hundred twenty thousand".