5436800 has 48 divisors (see below), whose sum is σ = 13438500. Its totient is φ = 2173440.

The previous prime is 5436799. The next prime is 5436803. The reversal of 5436800 is 86345.

It is a self number, because there is not a number n which added to its sum of digits gives 5436800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2351 + ... + 4049.

Almost surely, 2^5436800 is an apocalyptic number.

5436800 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 5436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719250).

5436800 is an abundant number, since it is smaller than the sum of its proper divisors (8001700).

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

5436800 is a wasteful number, since it uses less digits than its factorization.

5436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5436800 is about 2331.6946626863. The cubic root of 5436800 is about 175.8386951838.

The spelling of 5436800 in words is "five million, four hundred thirty-six thousand, eight hundred".