791706240 has 384 divisors, whose sum is σ = 3001798800. Its totient is φ = 191102976.

The previous prime is 791706221. The next prime is 791706247. The reversal of 791706240 is 42607197.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 248629824 + 543076416 = 15768^2 + 23304^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 = 791706195 and 791706204.

It is not an unprimeable number, because it can be changed into a prime (791706247) 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 47 ways as a sum of consecutive naturals, for example, 7263306 + ... + 7263414.

Almost surely, 2^791706240 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 791706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500899400).

791706240 is an abundant number, since it is smaller than the sum of its proper divisors (2210092560).

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

791706240 is a wasteful number, since it uses less digits than its factorization.

791706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 791706240 is about 28137.2749213565. The cubic root of 791706240 is about 925.0985977197.

The spelling of 791706240 in words is "seven hundred ninety-one million, seven hundred six thousand, two hundred forty".