796573440 has 432 divisors, whose sum is σ = 3093618528. Its totient is φ = 195084288.

The previous prime is 796573439. The next prime is 796573447. The reversal of 796573440 is 44375697.

796573440 is a `hidden beast` number, since 79 + 6 + 573 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796573447) 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 47 ways as a sum of consecutive naturals, for example, 4043422 + ... + 4043618.

It is an arithmetic number, because the mean of its divisors is an integer number (7161154).

Almost surely, 2^796573440 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 796573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546809264).

796573440 is an abundant number, since it is smaller than the sum of its proper divisors (2297045088).

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

796573440 is a wasteful number, since it uses less digits than its factorization.

796573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 796573440 is about 28223.6326506706. The cubic root of 796573440 is about 926.9904796835.

The spelling of 796573440 in words is "seven hundred ninety-six million, five hundred seventy-three thousand, four hundred forty".