6478800 has 60 divisors (see below), whose sum is σ = 20757600. Its totient is φ = 1727360.

The previous prime is 6478793. The next prime is 6478831. The reversal of 6478800 is 88746.

6478800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 2^6478800 is an apocalyptic number.

6478800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6478800 is an abundant number, since it is smaller than the sum of its proper divisors (14278800).

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

6478800 is a wasteful number, since it uses less digits than its factorization.

6478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6478800 is about 2545.3486990980. The cubic root of 6478800 is about 186.4224413782.

The spelling of 6478800 in words is "six million, four hundred seventy-eight thousand, eight hundred".