5781196800 has 780 divisors, whose sum is σ = 23227677396. Its totient is φ = 1415577600.

The previous prime is 5781196769. The next prime is 5781196843. The reversal of 5781196800 is 86911875.

5781196800 is a `hidden beast` number, since 578 + 1 + 19 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 429981696 + 5351215104 = 20736^2 + 73152^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 141004780 + ... + 141004820.

Almost surely, 2^5781196800 is an apocalyptic number.

5781196800 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 5781196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613838698).

5781196800 is an abundant number, since it is smaller than the sum of its proper divisors (17446480596).

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

5781196800 is a wasteful number, since it uses less digits than its factorization.

5781196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 5781196800 is about 76034.1817868779. The cubic root of 5781196800 is about 1794.7580827650.

It can be divided in two parts, 578 and 1196800, that added together give a triangular number (1197378 = T₁₅₄₇).

The spelling of 5781196800 in words is "five billion, seven hundred eighty-one million, one hundred ninety-six thousand, eight hundred".