5780527200 has 288 divisors, whose sum is σ = 23893470720. Its totient is φ = 1321228800.

The previous prime is 5780527199. The next prime is 5780527217. The reversal of 5780527200 is 27250875.

5780527200 is a `hidden beast` number, since 57 + 80 + 527 + 2 + 0 + 0 = 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132085 + ... + 170315.

It is an arithmetic number, because the mean of its divisors is an integer number (82963440).

Almost surely, 2^5780527200 is an apocalyptic number.

5780527200 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 5780527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946735360).

5780527200 is an abundant number, since it is smaller than the sum of its proper divisors (18112943520).

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

5780527200 is a wasteful number, since it uses less digits than its factorization.

5780527200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38267 (or 38248 counting only the distinct ones).

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

The square root of 5780527200 is about 76029.7783766335. The cubic root of 5780527200 is about 1794.6887882080.

The spelling of 5780527200 in words is "five billion, seven hundred eighty million, five hundred twenty-seven thousand, two hundred".