276768000 has 324 divisors, whose sum is σ = 1029053844. Its totient is φ = 71424000.

The previous prime is 276767987. The next prime is 276768001. The reversal of 276768000 is 867672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 267911424 = 2976^2 + 16368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8927985 + ... + 8928015.

Almost surely, 2^276768000 is an apocalyptic number.

276768000 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 276768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514526922).

276768000 is an abundant number, since it is smaller than the sum of its proper divisors (752285844).

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

276768000 is an equidigital number, since it uses as much as digits as its factorization.

276768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 276768000 is about 16636.3457525984. The cubic root of 276768000 is about 651.6863509541.

The spelling of 276768000 in words is "two hundred seventy-six million, seven hundred sixty-eight thousand".