5416800 has 144 divisors (see below), whose sum is σ = 18405072. Its totient is φ = 1382400.

The previous prime is 5416783. The next prime is 5416811. The reversal of 5416800 is 86145.

5416800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 88770 + ... + 88830.

It is an arithmetic number, because the mean of its divisors is an integer number (127813).

Almost surely, 2^5416800 is an apocalyptic number.

5416800 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 5416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202536).

5416800 is an abundant number, since it is smaller than the sum of its proper divisors (12988272).

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

5416800 is a wasteful number, since it uses less digits than its factorization.

5416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5416800 is about 2327.4019850468. The cubic root of 5416800 is about 175.6228148223.

It can be divided in two parts, 5416 and 800, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5416800 in words is "five million, four hundred sixteen thousand, eight hundred".