5116800 has 192 divisors, whose sum is σ = 18592560. Its totient is φ = 1228800.

The previous prime is 5116763. The next prime is 5116823. The reversal of 5116800 is 86115.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124780 + ... + 124820.

Almost surely, 2^5116800 is an apocalyptic number.

5116800 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 5116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296280).

5116800 is an abundant number, since it is smaller than the sum of its proper divisors (13475760).

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

5116800 is a wasteful number, since it uses less digits than its factorization.

5116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5116800 is about 2262.0344824958. The cubic root of 5116800 is about 172.3188604744.

The spelling of 5116800 in words is "five million, one hundred sixteen thousand, eight hundred".