1329779408 has 80 divisors (see below), whose sum is σ = 2786488320. Its totient is φ = 613122048.

The previous prime is 1329779387. The next prime is 1329779419. The reversal of 1329779408 is 8049779231.

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, 1728848 + ... + 1729616.

It is an arithmetic number, because the mean of its divisors is an integer number (34831104).

Almost surely, 2^1329779408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329779408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393244160).

1329779408 is an abundant number, since it is smaller than the sum of its proper divisors (1456708912).

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

1329779408 is a wasteful number, since it uses less digits than its factorization.

1329779408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 1329779408 is about 36466.1405690265. The cubic root of 1329779408 is about 1099.6636459217.

The spelling of 1329779408 in words is "one billion, three hundred twenty-nine million, seven hundred seventy-nine thousand, four hundred eight".