5802700800 has 312 divisors, whose sum is σ = 20675263504. Its totient is φ = 1427374080.

The previous prime is 5802700789. The next prime is 5802700801. The reversal of 5802700800 is 80072085.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5802700801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3992874 + ... + 3994326.

Almost surely, 2^5802700800 is an apocalyptic number.

5802700800 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 5802700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337631752).

5802700800 is an abundant number, since it is smaller than the sum of its proper divisors (14872562704).

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

5802700800 is a wasteful number, since it uses less digits than its factorization.

5802700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5802700800 is about 76175.4606156077. The cubic root of 5802700800 is about 1796.9806170257.

Adding to 5802700800 its reverse (80072085), we get a palindrome (5882772885).

The spelling of 5802700800 in words is "five billion, eight hundred two million, seven hundred thousand, eight hundred".