1327478000 has 80 divisors (see below), whose sum is σ = 3220079616. Its totient is φ = 529299200.

The previous prime is 1327477979. The next prime is 1327478017. The reversal of 1327478000 is 8747231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765134 + ... + 766866.

Almost surely, 2^1327478000 is an apocalyptic number.

1327478000 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 1327478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610039808).

1327478000 is an abundant number, since it is smaller than the sum of its proper divisors (1892601616).

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

1327478000 is a wasteful number, since it uses less digits than its factorization.

1327478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 1327478000 is about 36434.5714946670. The cubic root of 1327478000 is about 1099.0288950048.

The spelling of 1327478000 in words is "one billion, three hundred twenty-seven million, four hundred seventy-eight thousand".