64800801 has 24 divisors (see below), whose sum is σ = 103532520. Its totient is φ = 38797056.

The previous prime is 64800781. The next prime is 64800829. The reversal of 64800801 is 10800846.

It can be written as a sum of positive squares in 4 ways, for example, as 159201 + 64641600 = 399^2 + 8040^2 .

It is not a de Polignac number, because 64800801 - 2¹⁴ = 64784417 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64800851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156 + ... + 11813.

It is an arithmetic number, because the mean of its divisors is an integer number (4313855).

Almost surely, 2^64800801 is an apocalyptic number.

It is an amenable number.

64800801 is a deficient number, since it is larger than the sum of its proper divisors (38731719).

64800801 is a wasteful number, since it uses less digits than its factorization.

64800801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15025 (or 15022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 64800801 is about 8049.8944713580. The cubic root of 64800801 is about 401.6614250295.

The spelling of 64800801 in words is "sixty-four million, eight hundred thousand, eight hundred one".