276830400 has 504 divisors, whose sum is σ = 1163336256. Its totient is φ = 56985600.

The previous prime is 276830387. The next prime is 276830417. The reversal of 276830400 is 4038672.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587147 + ... + 2587253.

Almost surely, 2^276830400 is an apocalyptic number.

276830400 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 276830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581668128).

276830400 is an abundant number, since it is smaller than the sum of its proper divisors (886505856).

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

276830400 is a wasteful number, since it uses less digits than its factorization.

276830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 276830400 is about 16638.2210587550. The cubic root of 276830400 is about 651.7353235865.

The spelling of 276830400 in words is "two hundred seventy-six million, eight hundred thirty thousand, four hundred".