276005680 has 40 divisors (see below), whose sum is σ = 646422912. Its totient is φ = 109592064.

The previous prime is 276005677. The next prime is 276005687. The reversal of 276005680 is 86500672.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (276005687) 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 7 ways as a sum of consecutive naturals, for example, 1632 + ... + 23551.

Almost surely, 2^276005680 is an apocalyptic number.

276005680 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 276005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323211456).

276005680 is an abundant number, since it is smaller than the sum of its proper divisors (370417232).

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

276005680 is a wasteful number, since it uses less digits than its factorization.

276005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25333 (or 25327 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 276005680 is about 16613.4186728680. The cubic root of 276005680 is about 651.0874734885.

The spelling of 276005680 in words is "two hundred seventy-six million, five thousand, six hundred eighty".