1327767480 has 192 divisors, whose sum is σ = 4724385120. Its totient is φ = 321408000.

The previous prime is 1327767461. The next prime is 1327767487. The reversal of 1327767480 is 847677231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327767487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283155 + ... + 287805.

Almost surely, 2^1327767480 is an apocalyptic number.

1327767480 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 1327767480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362192560).

1327767480 is an abundant number, since it is smaller than the sum of its proper divisors (3396617640).

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

1327767480 is a wasteful number, since it uses less digits than its factorization.

1327767480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1327767480 is about 36438.5438787008. The cubic root of 1327767480 is about 1099.1087767459.

The spelling of 1327767480 in words is "one billion, three hundred twenty-seven million, seven hundred sixty-seven thousand, four hundred eighty".