798370560 has 288 divisors, whose sum is σ = 3052754880. Its totient is φ = 196411392.

The previous prime is 798370553. The next prime is 798370567. The reversal of 798370560 is 65073897.

It is a happy number.

798370560 is a `hidden beast` number, since 7 + 9 + 83 + 7 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (798370553) and next prime (798370567).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (798370567) 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 31 ways as a sum of consecutive naturals, for example, 448392 + ... + 450168.

Almost surely, 2^798370560 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 798370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526377440).

798370560 is an abundant number, since it is smaller than the sum of its proper divisors (2254384320).

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

798370560 is a wasteful number, since it uses less digits than its factorization.

798370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 798370560 is about 28255.4518633130. The cubic root of 798370560 is about 927.6870724534.

The spelling of 798370560 in words is "seven hundred ninety-eight million, three hundred seventy thousand, five hundred sixty".