579778560 has 288 divisors, whose sum is σ = 2092774320. Its totient is φ = 153944064.

The previous prime is 579778547. The next prime is 579778579. The reversal of 579778560 is 65877975.

579778560 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 78 + 560 = 666.

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

It is a super-2 number, since 2×579778560² = 672286357271347200, which contains 22 as substring.

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 = 579778497 and 579778506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488204 + ... + 2488436.

Almost surely, 2^579778560 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 579778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046387160).

579778560 is an abundant number, since it is smaller than the sum of its proper divisors (1512995760).

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

579778560 is an equidigital number, since it uses as much as digits as its factorization.

579778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 579778560 is about 24078.5913209224. The cubic root of 579778560 is about 833.8489452630.

The spelling of 579778560 in words is "five hundred seventy-nine million, seven hundred seventy-eight thousand, five hundred sixty".