794399760 has 720 divisors, whose sum is σ = 3572449920. Its totient is φ = 156119040.

The previous prime is 794399743. The next prime is 794399761. The reversal of 794399760 is 67993497.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 794399697 and 794399706.

It is not an unprimeable number, because it can be changed into a prime (794399761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8925796 + ... + 8925884.

It is an arithmetic number, because the mean of its divisors is an integer number (4961736).

Almost surely, 2^794399760 is an apocalyptic number.

794399760 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 794399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786224960).

794399760 is an abundant number, since it is smaller than the sum of its proper divisors (2778050160).

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

794399760 is a wasteful number, since it uses less digits than its factorization.

794399760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 794399760 is about 28185.0981903558. The cubic root of 794399760 is about 926.1465247442.

The spelling of 794399760 in words is "seven hundred ninety-four million, three hundred ninety-nine thousand, seven hundred sixty".