1327978800 has 300 divisors, whose sum is σ = 5048455896. Its totient is φ = 333158400.

The previous prime is 1327978789. The next prime is 1327978811. The reversal of 1327978800 is 88797231.

It is an interprime number because it is at equal distance from previous prime (1327978789) and next prime (1327978811).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 549595 + ... + 552005.

Almost surely, 2^1327978800 is an apocalyptic number.

1327978800 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 1327978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524227948).

1327978800 is an abundant number, since it is smaller than the sum of its proper divisors (3720477096).

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

1327978800 is a wasteful number, since it uses less digits than its factorization.

1327978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1327978800 is about 36441.4434401273. The cubic root of 1327978800 is about 1099.1670829753.

The spelling of 1327978800 in words is "one billion, three hundred twenty-seven million, nine hundred seventy-eight thousand, eight hundred".