276801 has 16 divisors (see below), whose sum is σ = 432000. Its totient is φ = 157584.

The previous prime is 276781. The next prime is 276817. The reversal of 276801 is 108672.

It is not a de Polignac number, because 276801 - 2⁷ = 276673 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 276801.

It is not an unprimeable number, because it can be changed into a prime (276821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2²⁷⁶⁸⁰¹ is an apocalyptic number.

276801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

276801 is a deficient number, since it is larger than the sum of its proper divisors (155199).

276801 is an equidigital number, since it uses as much as digits as its factorization.

276801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 276801 is about 526.1188078752. The cubic root of 276801 is about 65.1712250859.

The spelling of 276801 in words is "two hundred seventy-six thousand, eight hundred one".