5780275200 has 540 divisors, whose sum is σ = 24086816325. Its totient is φ = 1321205760.

The previous prime is 5780275181. The next prime is 5780275201. The reversal of 5780275200 is 25720875.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5780275200 is a `hidden beast` number, since 57 + 80 + 2 + 7 + 520 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5664669696 + 115605504 = 75264^2 + 10752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=53760.

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

It is not an unprimeable number, because it can be changed into a prime (5780275201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 825753597 + ... + 825753603.

Almost surely, 2^5780275200 is an apocalyptic number.

5780275200 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 5780275200

5780275200 is an abundant number, since it is smaller than the sum of its proper divisors (18306541125).

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

5780275200 is an frugal number, since it uses more digits than its factorization.

5780275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5780275200 is about 76028.1211131776. The cubic root of 5780275200 is about 1794.6627082254.

Multiplying 5780275200 by its product of nonzero digits (39200), we get a square (226586787840000 = 15052800²).

5780275200 divided by its product of nonzero digits (39200) gives a square (147456 = 384²).

The spelling of 5780275200 in words is "five billion, seven hundred eighty million, two hundred seventy-five thousand, two hundred".