816756801 has 16 divisors (see below), whose sum is σ = 1256907648. Its totient is φ = 462096000.

The previous prime is 816756799. The next prime is 816756803. The reversal of 816756801 is 108657618.

It is an interprime number because it is at equal distance from previous prime (816756799) and next prime (816756803).

It is not a de Polignac number, because 816756801 - 2¹ = 816756799 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (816756803) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 190420 + ... + 194661.

It is an arithmetic number, because the mean of its divisors is an integer number (78556728).

Almost surely, 2^816756801 is an apocalyptic number.

It is an amenable number.

816756801 is a deficient number, since it is larger than the sum of its proper divisors (440150847).

816756801 is a wasteful number, since it uses less digits than its factorization.

816756801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385192.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 816756801 is about 28578.9573112806. The cubic root of 816756801 is about 934.7545471786.

The spelling of 816756801 in words is "eight hundred sixteen million, seven hundred fifty-six thousand, eight hundred one".