276868800 has 672 divisors, whose sum is σ = 1190548800. Its totient is φ = 61931520.

The previous prime is 276868793. The next prime is 276868807. The reversal of 276868800 is 8868672.

276868800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (276868793) and next prime (276868807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (276868807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9547186 + ... + 9547214.

It is an arithmetic number, because the mean of its divisors is an integer number (1771650).

Almost surely, 2^276868800 is an apocalyptic number.

276868800 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 276868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595274400).

276868800 is an abundant number, since it is smaller than the sum of its proper divisors (913680000).

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

276868800 is a wasteful number, since it uses less digits than its factorization.

276868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 276868800 is about 16639.3749882620. The cubic root of 276868800 is about 651.7654569333.

The spelling of 276868800 in words is "two hundred seventy-six million, eight hundred sixty-eight thousand, eight hundred".