5780656800 has 576 divisors, whose sum is σ = 22048588800. Its totient is φ = 1459814400.

The previous prime is 5780656799. The next prime is 5780656811. The reversal of 5780656800 is 86560875.

5780656800 is a `hidden beast` number, since 5 + 7 + 80 + 6 + 568 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59594352 + ... + 59594448.

It is an arithmetic number, because the mean of its divisors is an integer number (38278800).

Almost surely, 2^5780656800 is an apocalyptic number.

5780656800 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 5780656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024294400).

5780656800 is an abundant number, since it is smaller than the sum of its proper divisors (16267932000).

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

5780656800 is a wasteful number, since it uses less digits than its factorization.

5780656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5780656800 is about 76030.6306694874. The cubic root of 5780656800 is about 1794.7022004754.

The spelling of 5780656800 in words is "five billion, seven hundred eighty million, six hundred fifty-six thousand, eight hundred".