5782833000 has 960 divisors, whose sum is σ = 24789473280. Its totient is φ = 1251936000.

The previous prime is 5782832977. The next prime is 5782833011. The reversal of 5782833000 is 3382875.

5782833000 is a `hidden beast` number, since 5 + 78 + 283 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 123038977 + ... + 123039023.

It is an arithmetic number, because the mean of its divisors is an integer number (25822368).

Almost surely, 2^5782833000 is an apocalyptic number.

5782833000 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 5782833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394736640).

5782833000 is an abundant number, since it is smaller than the sum of its proper divisors (19006640280).

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

5782833000 is a wasteful number, since it uses less digits than its factorization.

5782833000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5782833000 is about 76044.9406601123. The cubic root of 5782833000 is about 1794.9273848595.

The spelling of 5782833000 in words is "five billion, seven hundred eighty-two million, eight hundred thirty-three thousand".