5202820800 has 378 divisors, whose sum is σ = 19359315612. Its totient is φ = 1325153280.

The previous prime is 5202820699. The next prime is 5202820849. The reversal of 5202820800 is 80282025.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7617259 + ... + 7617941.

Almost surely, 2^5202820800 is an apocalyptic number.

5202820800 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 5202820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679657806).

5202820800 is an abundant number, since it is smaller than the sum of its proper divisors (14156494812).

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

5202820800 is a wasteful number, since it uses less digits than its factorization.

5202820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5202820800 is about 72130.5815864533. The cubic root of 5202820800 is about 1732.7914216522.

The spelling of 5202820800 in words is "five billion, two hundred two million, eight hundred twenty thousand, eight hundred".