794415440 has 320 divisors, whose sum is σ = 2474841600. Its totient is φ = 234823680.

The previous prime is 794415431. The next prime is 794415443. The reversal of 794415440 is 44514497.

794415440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 794415394 and 794415403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (794415443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6064175 + ... + 6064305.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^794415440 is an apocalyptic number.

794415440 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 794415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237420800).

794415440 is an abundant number, since it is smaller than the sum of its proper divisors (1680426160).

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

794415440 is a wasteful number, since it uses less digits than its factorization.

794415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 794415440 is about 28185.3763501572. The cubic root of 794415440 is about 926.1526181842.

The spelling of 794415440 in words is "seven hundred ninety-four million, four hundred fifteen thousand, four hundred forty".