798406560 has 288 divisors, whose sum is σ = 3148104960. Its totient is φ = 180486144.

The previous prime is 798406559. The next prime is 798406577. The reversal of 798406560 is 65604897.

798406560 is a `hidden beast` number, since 7 + 9 + 84 + 0 + 6 + 560 = 666.

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 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 47 ways as a sum of consecutive naturals, for example, 1037856 + ... + 1038624.

It is an arithmetic number, because the mean of its divisors is an integer number (10930920).

Almost surely, 2^798406560 is an apocalyptic number.

798406560 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 798406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574052480).

798406560 is an abundant number, since it is smaller than the sum of its proper divisors (2349698400).

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

798406560 is a wasteful number, since it uses less digits than its factorization.

798406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 798406560 is about 28256.0889013324. The cubic root of 798406560 is about 927.7010159505.

The spelling of 798406560 in words is "seven hundred ninety-eight million, four hundred six thousand, five hundred sixty".