1329280800 has 72 divisors (see below), whose sum is σ = 4326816816. Its totient is φ = 354474240.

The previous prime is 1329280789. The next prime is 1329280807. The reversal of 1329280800 is 80829231.

It is not an unprimeable number, because it can be changed into a prime (1329280807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274534 + ... + 279333.

It is an arithmetic number, because the mean of its divisors is an integer number (60094678).

Almost surely, 2^1329280800 is an apocalyptic number.

1329280800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1329280800 is an abundant number, since it is smaller than the sum of its proper divisors (2997536016).

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

1329280800 is a wasteful number, since it uses less digits than its factorization.

1329280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553890 (or 553877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1329280800 is about 36459.3033394770. The cubic root of 1329280800 is about 1099.5261871242.

The spelling of 1329280800 in words is "one billion, three hundred twenty-nine million, two hundred eighty thousand, eight hundred".