5350800 has 240 divisors, whose sum is σ = 21526400. Its totient is φ = 1128960.

The previous prime is 5350781. The next prime is 5350831. The reversal of 5350800 is 80535.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 411594 + ... + 411606.

Almost surely, 2^5350800 is an apocalyptic number.

5350800 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 5350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10763200).

5350800 is an abundant number, since it is smaller than the sum of its proper divisors (16175600).

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

5350800 is a wasteful number, since it uses less digits than its factorization.

5350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5350800 is about 2313.1796298602. The cubic root of 5350800 is about 174.9066168446.

The spelling of 5350800 in words is "five million, three hundred fifty thousand, eight hundred".