5781780000 has 600 divisors, whose sum is σ = 22004368848. Its totient is φ = 1487808000.

The previous prime is 5781779999. The next prime is 5781780001. The reversal of 5781780000 is 871875.

5781780000 is a `hidden beast` number, since 578 + 1 + 7 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5781779999) and next prime (5781780001).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5781780001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 69659959 + ... + 69660041.

Almost surely, 2^5781780000 is an apocalyptic number.

5781780000 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 5781780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002184424).

5781780000 is an abundant number, since it is smaller than the sum of its proper divisors (16222588848).

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

5781780000 is an equidigital number, since it uses as much as digits as its factorization.

5781780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 5781780000 is about 76038.0168073839. The cubic root of 5781780000 is about 1794.8184317294.

The spelling of 5781780000 in words is "five billion, seven hundred eighty-one million, seven hundred eighty thousand".