5476800 has 168 divisors, whose sum is σ = 20661376. Its totient is φ = 1244160.

The previous prime is 5476799. The next prime is 5476811. The reversal of 5476800 is 86745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33519 + ... + 33681.

Almost surely, 2^5476800 is an apocalyptic number.

5476800 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 5476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330688).

5476800 is an abundant number, since it is smaller than the sum of its proper divisors (15184576).

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

5476800 is a wasteful number, since it uses less digits than its factorization.

5476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5476800 is about 2340.2563962096. The cubic root of 5476800 is about 176.2688727841.

The spelling of 5476800 in words is "five million, four hundred seventy-six thousand, eight hundred".