1320880800 has 144 divisors (see below), whose sum is σ = 4486587840. Its totient is φ = 336906240.

The previous prime is 1320880793. The next prime is 1320880801. The reversal of 1320880800 is 80880231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320880801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43236 + ... + 67164.

It is an arithmetic number, because the mean of its divisors is an integer number (31156860).

Almost surely, 2^1320880800 is an apocalyptic number.

1320880800 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 1320880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243293920).

1320880800 is an abundant number, since it is smaller than the sum of its proper divisors (3165707040).

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

1320880800 is a wasteful number, since it uses less digits than its factorization.

1320880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23975 (or 23962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1320880800 is about 36343.9238387932. The cubic root of 1320880800 is about 1097.2052470256.

The spelling of 1320880800 in words is "one billion, three hundred twenty million, eight hundred eighty thousand, eight hundred".