64080800 has 72 divisors (see below), whose sum is σ = 178801056. Its totient is φ = 21968640.

The previous prime is 64080799. The next prime is 64080817. The reversal of 64080800 is 808046.

64080800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64080800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122 + ... + 11321.

It is an arithmetic number, because the mean of its divisors is an integer number (2483348).

Almost surely, 2^64080800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89400528).

64080800 is an abundant number, since it is smaller than the sum of its proper divisors (114720256).

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

64080800 is a wasteful number, since it uses less digits than its factorization.

64080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 64080800 is about 8005.0484070991. The cubic root of 64080800 is about 400.1682625427.

Adding to 64080800 its reverse (808046), we get a palindrome (64888846).

The spelling of 64080800 in words is "sixty-four million, eighty thousand, eight hundred".