507116800 has 216 divisors, whose sum is σ = 1368662400. Its totient is φ = 185303040.

The previous prime is 507116791. The next prime is 507116801. The reversal of 507116800 is 8611705.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507116801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6419161 + ... + 6419239.

It is an arithmetic number, because the mean of its divisors is an integer number (6336400).

Almost surely, 2^507116800 is an apocalyptic number.

507116800 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 507116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684331200).

507116800 is an abundant number, since it is smaller than the sum of its proper divisors (861545600).

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

507116800 is a wasteful number, since it uses less digits than its factorization.

507116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 507116800 is about 22519.2539840910. The cubic root of 507116800 is about 797.4485378689.

The spelling of 507116800 in words is "five hundred seven million, one hundred sixteen thousand, eight hundred".