799755840 has 336 divisors, whose sum is σ = 3040508016. Its totient is φ = 191692800.

The previous prime is 799755833. The next prime is 799755841. The reversal of 799755840 is 48557997.

799755840 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 8 ways, for example, as 299428416 + 500327424 = 17304^2 + 22368^2 .

It is a super-2 number, since 2×799755840² = 1279218807228211200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (799755841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534780 + ... + 1535300.

It is an arithmetic number, because the mean of its divisors is an integer number (9049131).

Almost surely, 2^799755840 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 799755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520254008).

799755840 is an abundant number, since it is smaller than the sum of its proper divisors (2240752176).

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

799755840 is a wasteful number, since it uses less digits than its factorization.

799755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 799755840 is about 28279.9547382948. The cubic root of 799755840 is about 928.2233162523.

The spelling of 799755840 in words is "seven hundred ninety-nine million, seven hundred fifty-five thousand, eight hundred forty".