64800720 has 60 divisors (see below), whose sum is σ = 217624836. Its totient is φ = 17280000.

The previous prime is 64800677. The next prime is 64800739. The reversal of 64800720 is 2700846.

It can be written as a sum of positive squares in 2 ways, for example, as 51667344 + 13133376 = 7188^2 + 3624^2 .

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, 44281 + ... + 45720.

Almost surely, 2^64800720 is an apocalyptic number.

64800720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64800720 is an abundant number, since it is smaller than the sum of its proper divisors (152824116).

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

64800720 is a wasteful number, since it uses less digits than its factorization.

64800720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90020 (or 90011 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 64800720 is about 8049.8894402346. The cubic root of 64800720 is about 401.6612576726.

It can be divided in two parts, 64800 and 720, that multiplied together give a cube (46656000 = 360³).

The spelling of 64800720 in words is "sixty-four million, eight hundred thousand, seven hundred twenty".