5278800 has 120 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 1364480.

The previous prime is 5278787. The next prime is 5278813. The reversal of 5278800 is 88725.

It is an interprime number because it is at equal distance from previous prime (5278787) and next prime (5278813).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63559 + ... + 63641.

Almost surely, 2^5278800 is an apocalyptic number.

5278800 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 5278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718192).

5278800 is an abundant number, since it is smaller than the sum of its proper divisors (12157584).

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

5278800 is a wasteful number, since it uses less digits than its factorization.

5278800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5278800 is about 2297.5639272934. The cubic root of 5278800 is about 174.1185610244.

The spelling of 5278800 in words is "five million, two hundred seventy-eight thousand, eight hundred".