5780340000 has 360 divisors, whose sum is σ = 21760518780. Its totient is φ = 1449984000.

The previous prime is 5780339959. The next prime is 5780340043. The reversal of 5780340000 is 430875.

It can be written as a sum of positive squares in 10 ways, for example, as 121088016 + 5659251984 = 11004^2 + 75228^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059056 + ... + 3060944.

Almost surely, 2^5780340000 is an apocalyptic number.

5780340000 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 5780340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880259390).

5780340000 is an abundant number, since it is smaller than the sum of its proper divisors (15980178780).

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

5780340000 is a wasteful number, since it uses less digits than its factorization.

5780340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5780340000 is about 76028.5472700880. The cubic root of 5780340000 is about 1794.6694145790.

Adding to 5780340000 its reverse (430875), we get a palindrome (5780770875).

The spelling of 5780340000 in words is "five billion, seven hundred eighty million, three hundred forty thousand".