508080000 has 320 divisors, whose sum is σ = 1768496400. Its totient is φ = 129024000.

The previous prime is 508079993. The next prime is 508080019. The reversal of 508080000 is 80805.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 6959964 + ... + 6960036.

Almost surely, 2^508080000 is an apocalyptic number.

508080000 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 508080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884248200).

508080000 is an abundant number, since it is smaller than the sum of its proper divisors (1260416400).

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

508080000 is an equidigital number, since it uses as much as digits as its factorization.

508080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 508080000 is about 22540.6299823230. The cubic root of 508080000 is about 797.9531005534.

The spelling of 508080000 in words is "five hundred eight million, eighty thousand".