864800505 has 12 divisors (see below), whose sum is σ = 1498987620. Its totient is φ = 461226912.

The previous prime is 864800479. The next prime is 864800507. The reversal of 864800505 is 505008468.

It is a happy number.

864800505 is a `hidden beast` number, since 8 + 648 + 0 + 0 + 5 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 611226729 + 253573776 = 24723^2 + 15924^2 .

It is not a de Polignac number, because 864800505 - 2⁵ = 864800473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 864800505.

It is not an unprimeable number, because it can be changed into a prime (864800507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9608850 + ... + 9608939.

It is an arithmetic number, because the mean of its divisors is an integer number (124915635).

Almost surely, 2^864800505 is an apocalyptic number.

It is an amenable number.

864800505 is a deficient number, since it is larger than the sum of its proper divisors (634187115).

864800505 is a wasteful number, since it uses less digits than its factorization.

864800505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19217800 (or 19217797 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 864800505 is about 29407.4906273895. The cubic root of 864800505 is about 952.7346891057.

The spelling of 864800505 in words is "eight hundred sixty-four million, eight hundred thousand, five hundred five".