5780977600 has 84 divisors (see below), whose sum is σ = 14333924088. Its totient is φ = 2294656000.

The previous prime is 5780977567. The next prime is 5780977637. The reversal of 5780977600 is 67790875.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195810 + ... + 223390.

Almost surely, 2^5780977600 is an apocalyptic number.

5780977600 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 5780977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166962044).

5780977600 is an abundant number, since it is smaller than the sum of its proper divisors (8552946488).

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

5780977600 is a wasteful number, since it uses less digits than its factorization.

5780977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27734 (or 27719 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The square root of 5780977600 is about 76032.7403162611. The cubic root of 5780977600 is about 1794.7353991144.

The spelling of 5780977600 in words is "five billion, seven hundred eighty million, nine hundred seventy-seven thousand, six hundred".