5080204800 has 720 divisors, whose sum is σ = 20976246720. Its totient is φ = 1161216000.

The previous prime is 5080204783. The next prime is 5080204807. The reversal of 5080204800 is 84020805.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×5080204800³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5080204807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24076695 + ... + 24076905.

It is an arithmetic number, because the mean of its divisors is an integer number (29133676).

Almost surely, 2^5080204800 is an apocalyptic number.

5080204800 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 5080204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488123360).

5080204800 is an abundant number, since it is smaller than the sum of its proper divisors (15896041920).

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

5080204800 is a wasteful number, since it uses less digits than its factorization.

5080204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

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

The square root of 5080204800 is about 71275.5554169871. Note that the first 3 decimals coincide. The cubic root of 5080204800 is about 1719.0707076694.

The spelling of 5080204800 in words is "five billion, eighty million, two hundred four thousand, eight hundred".