276412800 has 96 divisors (see below), whose sum is σ = 910466280. Its totient is φ = 73707520.

The previous prime is 276412789. The next prime is 276412813. The reversal of 276412800 is 8214672.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4797 + ... + 23996.

Almost surely, 2^276412800 is an apocalyptic number.

276412800 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 276412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455233140).

276412800 is an abundant number, since it is smaller than the sum of its proper divisors (634053480).

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

276412800 is a wasteful number, since it uses less digits than its factorization.

276412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28803 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 276412800 is about 16625.6669039170. Note that the first 3 decimals coincide. The cubic root of 276412800 is about 651.4074433635.

The spelling of 276412800 in words is "two hundred seventy-six million, four hundred twelve thousand, eight hundred".