1321796880 has 300 divisors, whose sum is σ = 4749891300. Its totient is φ = 340651008.

The previous prime is 1321796857. The next prime is 1321796891. The reversal of 1321796880 is 886971231.

It can be written as a sum of positive squares in 6 ways, for example, as 36144144 + 1285652736 = 6012^2 + 35856^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8871046 + ... + 8871194.

It is an arithmetic number, because the mean of its divisors is an integer number (15832971).

Almost surely, 2^1321796880 is an apocalyptic number.

1321796880 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 1321796880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374945650).

1321796880 is an abundant number, since it is smaller than the sum of its proper divisors (3428094420).

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

1321796880 is a wasteful number, since it uses less digits than its factorization.

1321796880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1321796880 is about 36356.5245863793. The cubic root of 1321796880 is about 1097.4588393022.

The spelling of 1321796880 in words is "one billion, three hundred twenty-one million, seven hundred ninety-six thousand, eight hundred eighty".