5820292800 has 672 divisors, whose sum is σ = 25549555200. Its totient is φ = 1259089920.

The previous prime is 5820292769. The next prime is 5820292817. The reversal of 5820292800 is 82920285.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5745094 + ... + 5746106.

Almost surely, 2^5820292800 is an apocalyptic number.

5820292800 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 5820292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774777600).

5820292800 is an abundant number, since it is smaller than the sum of its proper divisors (19729262400).

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

5820292800 is a wasteful number, since it uses less digits than its factorization.

5820292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5820292800 is about 76290.8434872757. The cubic root of 5820292800 is about 1798.7947487186.

The spelling of 5820292800 in words is "five billion, eight hundred twenty million, two hundred ninety-two thousand, eight hundred".