276878400 has 168 divisors, whose sum is σ = 933541440. Its totient is φ = 71792640.

The previous prime is 276878389. The next prime is 276878401. The reversal of 276878400 is 4878672.

It is not an unprimeable number, because it can be changed into a prime (276878401) 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 23 ways as a sum of consecutive naturals, for example, 176821 + ... + 178379.

Almost surely, 2^276878400 is an apocalyptic number.

276878400 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 276878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466770720).

276878400 is an abundant number, since it is smaller than the sum of its proper divisors (656663040).

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

276878400 is a wasteful number, since it uses less digits than its factorization.

276878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 276878400 is about 16639.6634581352. The cubic root of 276878400 is about 651.7729898346.

The spelling of 276878400 in words is "two hundred seventy-six million, eight hundred seventy-eight thousand, four hundred".