796749840 has 120 divisors (see below), whose sum is σ = 2680875288. Its totient is φ = 212060160.

The previous prime is 796749809. The next prime is 796749841. The reversal of 796749840 is 48947697.

It is a happy number.

796749840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65804544 + 730945296 = 8112^2 + 27036^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (796749841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674050 + ... + 675230.

Almost surely, 2^796749840 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 796749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340437644).

796749840 is an abundant number, since it is smaller than the sum of its proper divisors (1884125448).

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

796749840 is a wasteful number, since it uses less digits than its factorization.

796749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 796749840 is about 28226.7575183548. The cubic root of 796749840 is about 927.0589015195.

The spelling of 796749840 in words is "seven hundred ninety-six million, seven hundred forty-nine thousand, eight hundred forty".