5780000000 has 216 divisors, whose sum is σ = 15319980312. Its totient is φ = 2176000000.

The previous prime is 5779999963. The next prime is 5780000033. The reversal of 5780000000 is 875.

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.

It can be written as a sum of positive squares in 12 ways, for example, as 3970008064 + 1809991936 = 63008^2 + 42544^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 339999992 + ... + 340000008.

Almost surely, 2^5780000000 is an apocalyptic number.

5780000000 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 5780000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659990156).

5780000000 is an abundant number, since it is smaller than the sum of its proper divisors (9539980312).

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

5780000000 is an frugal number, since it uses more digits than its factorization.

5780000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 5780000000 is about 76026.3112349928. The cubic root of 5780000000 is about 1794.6342263626.

Multiplying 5780000000 by its sum of digits (20), we get a square (115600000000 = 340000²).

5780000000 divided by its sum of digits (20) gives a square (289000000 = 17000²).

Adding to 5780000000 its reverse (875), we get a palindrome (5780000875).

The spelling of 5780000000 in words is "five billion, seven hundred eighty million", and thus it is an aban number.