798809760 has 216 divisors, whose sum is σ = 3171269556. Its totient is φ = 182568960.

The previous prime is 798809747. The next prime is 798809771. The reversal of 798809760 is 67908897.

It can be written as a sum of positive squares in 2 ways, for example, as 718025616 + 80784144 = 26796^2 + 8988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 798809697 and 798809706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64900 + ... + 76220.

Almost surely, 2^798809760 is an apocalyptic number.

798809760 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 798809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585634778).

798809760 is an abundant number, since it is smaller than the sum of its proper divisors (2372459796).

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

798809760 is a wasteful number, since it uses less digits than its factorization.

798809760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11356 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 798809760 is about 28263.2227461767. Note that the first 3 decimals coincide. The cubic root of 798809760 is about 927.8571544896.

The spelling of 798809760 in words is "seven hundred ninety-eight million, eight hundred nine thousand, seven hundred sixty".