5260800 has 120 divisors (see below), whose sum is σ = 17505576. Its totient is φ = 1392640.

The previous prime is 5260799. The next prime is 5260807. The reversal of 5260800 is 80625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5260807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38332 + ... + 38468.

Almost surely, 2^5260800 is an apocalyptic number.

5260800 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 5260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752788).

5260800 is an abundant number, since it is smaller than the sum of its proper divisors (12244776).

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

5260800 is a wasteful number, since it uses less digits than its factorization.

5260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5260800 is about 2293.6433898930. The cubic root of 5260800 is about 173.9204286719.

The spelling of 5260800 in words is "five million, two hundred sixty thousand, eight hundred".