276800 has 42 divisors (see below), whose sum is σ = 685038. Its totient is φ = 110080.

The previous prime is 276781. The next prime is 276817. The reversal of 276800 is 8672.

276800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 215296 = 248^2 + 464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1514 + ... + 1686.

2²⁷⁶⁸⁰⁰ is an apocalyptic number.

276800 is a gapful number since it is divisible by the number (20) 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 276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342519).

276800 is an abundant number, since it is smaller than the sum of its proper divisors (408238).

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

276800 is a wasteful number, since it uses less digits than its factorization.

276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 276800 is about 526.1178575186. The cubic root of 276800 is about 65.1711466044.

The spelling of 276800 in words is "two hundred seventy-six thousand, eight hundred".