5140800 has 336 divisors, whose sum is σ = 22677120. Its totient is φ = 1105920.

The previous prime is 5140781. The next prime is 5140829. The reversal of 5140800 is 80415.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302392 + ... + 302408.

Almost surely, 2^5140800 is an apocalyptic number.

5140800 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 5140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

5140800 is an abundant number, since it is smaller than the sum of its proper divisors (17536320).

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

5140800 is a wasteful number, since it uses less digits than its factorization.

5140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5140800 is about 2267.3332353229. Note that the first 3 decimals coincide. The cubic root of 5140800 is about 172.5878569468.

The spelling of 5140800 in words is "five million, one hundred forty thousand, eight hundred".