1329830580 has 144 divisors (see below), whose sum is σ = 4054518720. Its totient is φ = 325518336.

The previous prime is 1329830569. The next prime is 1329830587. The reversal of 1329830580 is 850389231.

1329830580 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1329830580³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329830587) 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, 3173611 + ... + 3174029.

It is an arithmetic number, because the mean of its divisors is an integer number (28156380).

Almost surely, 2^1329830580 is an apocalyptic number.

1329830580 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 1329830580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027259360).

1329830580 is an abundant number, since it is smaller than the sum of its proper divisors (2724688140).

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

1329830580 is a wasteful number, since it uses less digits than its factorization.

1329830580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1329830580 is about 36466.8421994557. The cubic root of 1329830580 is about 1099.6777513354.

The spelling of 1329830580 in words is "one billion, three hundred twenty-nine million, eight hundred thirty thousand, five hundred eighty".