5780128000 has 72 divisors (see below), whose sum is σ = 14399101080. Its totient is φ = 2312038400.

The previous prime is 5780127979. The next prime is 5780128001. The reversal of 5780128000 is 8210875.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 5604618496 = 13248^2 + 74864^2 .

It is not an unprimeable number, because it can be changed into a prime (5780128001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58315 + ... + 122314.

It is an arithmetic number, because the mean of its divisors is an integer number (199987515).

Almost surely, 2^5780128000 is an apocalyptic number.

5780128000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5780128000 is an abundant number, since it is smaller than the sum of its proper divisors (8618973080).

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

5780128000 is an equidigital number, since it uses as much as digits as its factorization.

5780128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180660 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 5780128000 is about 76027.1530441592. The cubic root of 5780128000 is about 1794.6474738531.

Adding to 5780128000 its reverse (8210875), we get a palindrome (5788338875).

It can be divided in two parts, 5780 and 128000, that multiplied together give a square (739840000 = 27200²).

The spelling of 5780128000 in words is "five billion, seven hundred eighty million, one hundred twenty-eight thousand".