799666560 has 512 divisors, whose sum is σ = 3536870400. Its totient is φ = 165888000.

The previous prime is 799666531. The next prime is 799666573. The reversal of 799666560 is 65666997.

799666560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 799666497 and 799666506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330260 + ... + 1330860.

It is an arithmetic number, because the mean of its divisors is an integer number (6907950).

Almost surely, 2^799666560 is an apocalyptic number.

799666560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768435200).

799666560 is an abundant number, since it is smaller than the sum of its proper divisors (2737203840).

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

799666560 is a wasteful number, since it uses less digits than its factorization.

799666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 799666560 is about 28278.3761910050. The cubic root of 799666560 is about 928.1887745179.

The spelling of 799666560 in words is "seven hundred ninety-nine million, six hundred sixty-six thousand, five hundred sixty".