1278864000 has 384 divisors, whose sum is σ = 4691494080. Its totient is φ = 333772800.

The previous prime is 1278863969. The next prime is 1278864017. The reversal of 1278864000 is 4688721.

1278864000 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11951947 + ... + 11952053.

Almost surely, 2^1278864000 is an apocalyptic number.

1278864000 is a gapful number since it is divisible by the number (10) 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 1278864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345747040).

1278864000 is an abundant number, since it is smaller than the sum of its proper divisors (3412630080).

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

1278864000 is a wasteful number, since it uses less digits than its factorization.

1278864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1278864000 is about 35761.2080332866. The cubic root of 1278864000 is about 1085.4457454830.

The spelling of 1278864000 in words is "one billion, two hundred seventy-eight million, eight hundred sixty-four thousand".