6400800 has 216 divisors, whose sum is σ = 25998336. Its totient is φ = 1451520.

The previous prime is 6400799. The next prime is 6400813. The reversal of 6400800 is 80046.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50337 + ... + 50463.

Almost surely, 2^6400800 is an apocalyptic number.

6400800 is a gapful number since it is divisible by the number (60) 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 6400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

6400800 is an abundant number, since it is smaller than the sum of its proper divisors (19597536).

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

6400800 is a wasteful number, since it uses less digits than its factorization.

6400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6400800 is about 2529.9802370770. The cubic root of 6400800 is about 185.6712890036.

Adding to 6400800 its reverse (80046), we get a palindrome (6480846).

The spelling of 6400800 in words is "six million, four hundred thousand, eight hundred".