5080924800 has 768 divisors, whose sum is σ = 22017638400. Its totient is φ = 1119744000.

The previous prime is 5080924781. The next prime is 5080924811. The reversal of 5080924800 is 84290805.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18748665 + ... + 18748935.

It is an arithmetic number, because the mean of its divisors is an integer number (28668800).

Almost surely, 2^5080924800 is an apocalyptic number.

5080924800 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 5080924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11008819200).

5080924800 is an abundant number, since it is smaller than the sum of its proper divisors (16936713600).

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

5080924800 is a wasteful number, since it uses less digits than its factorization.

5080924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

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

The square root of 5080924800 is about 71280.6060580296. The cubic root of 5080924800 is about 1719.1519164979.

The spelling of 5080924800 in words is "five billion, eighty million, nine hundred twenty-four thousand, eight hundred".