560278800 has 180 divisors, whose sum is σ = 1964499264. Its totient is φ = 147859200.

The previous prime is 560278793. The next prime is 560278819. The reversal of 560278800 is 8872065.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 370045 + ... + 371555.

Almost surely, 2^560278800 is an apocalyptic number.

560278800 is a gapful number since it is divisible by the number (50) 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 560278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982249632).

560278800 is an abundant number, since it is smaller than the sum of its proper divisors (1404220464).

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

560278800 is a wasteful number, since it uses less digits than its factorization.

560278800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 560278800 is about 23670.2091245515. The cubic root of 560278800 is about 824.3938246894.

The spelling of 560278800 in words is "five hundred sixty million, two hundred seventy-eight thousand, eight hundred".