64720800 has 216 divisors, whose sum is σ = 233071020. Its totient is φ = 16896000.

The previous prime is 64720793. The next prime is 64720801. The reversal of 64720800 is 802746.

It can be written as a sum of positive squares in 6 ways, for example, as 31404816 + 33315984 = 5604^2 + 5772^2 .

It is not an unprimeable number, because it can be changed into a prime (64720801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 640750 + ... + 640850.

Almost surely, 2^64720800 is an apocalyptic number.

64720800 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 64720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116535510).

64720800 is an abundant number, since it is smaller than the sum of its proper divisors (168350220).

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

64720800 is a wasteful number, since it uses less digits than its factorization.

64720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

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

The square root of 64720800 is about 8044.9238653949. The cubic root of 64720800 is about 401.4960641706.

The spelling of 64720800 in words is "sixty-four million, seven hundred twenty thousand, eight hundred".