65680800 has 72 divisors (see below), whose sum is σ = 213798816. Its totient is φ = 17514240.

The previous prime is 65680799. The next prime is 65680817. The reversal of 65680800 is 808656.

65680800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11284 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (2969428).

Almost surely, 2^65680800 is an apocalyptic number.

65680800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65680800 is an abundant number, since it is smaller than the sum of its proper divisors (148118016).

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

65680800 is a wasteful number, since it uses less digits than its factorization.

65680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27390 (or 27377 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 65680800 is about 8104.3691919853. The cubic root of 65680800 is about 403.4714520631.

The spelling of 65680800 in words is "sixty-five million, six hundred eighty thousand, eight hundred".