5789784000 has 896 divisors, whose sum is σ = 25775253504. Its totient is φ = 1105920000.

The previous prime is 5789783983. The next prime is 5789784001. The reversal of 5789784000 is 4879875.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5789784001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24023880 + ... + 24024120.

It is an arithmetic number, because the mean of its divisors is an integer number (28767024).

Almost surely, 2^5789784000 is an apocalyptic number.

5789784000 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 5789784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887626752).

5789784000 is an abundant number, since it is smaller than the sum of its proper divisors (19985469504).

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

5789784000 is a wasteful number, since it uses less digits than its factorization.

5789784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 5789784000 is about 76090.6301721835. The cubic root of 5789784000 is about 1795.6462680683.

The spelling of 5789784000 in words is "five billion, seven hundred eighty-nine million, seven hundred eighty-four thousand".