791065440 has 480 divisors, whose sum is σ = 3161410560. Its totient is φ = 184550400.

The previous prime is 791065433. The next prime is 791065459. The reversal of 791065440 is 44560197.

791065440 is a `hidden beast` number, since 7 + 9 + 106 + 544 + 0 = 666.

791065440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 791065395 and 791065404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4419271 + ... + 4419449.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^791065440 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 791065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

791065440 is an abundant number, since it is smaller than the sum of its proper divisors (2370345120).

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

791065440 is a wasteful number, since it uses less digits than its factorization.

791065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 791065440 is about 28125.8855860576. The cubic root of 791065440 is about 924.8489414879.

The spelling of 791065440 in words is "seven hundred ninety-one million, sixty-five thousand, four hundred forty".