1320782580 has 72 divisors (see below), whose sum is σ = 4314564072. Its totient is φ = 325115136.

The previous prime is 1320782543. The next prime is 1320782597. The reversal of 1320782580 is 852870231.

1320782580 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 78 + 2 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 200675556 + 1120107024 = 14166^2 + 33468^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279879 + ... + 284558.

It is an arithmetic number, because the mean of its divisors is an integer number (59924501).

Almost surely, 2^1320782580 is an apocalyptic number.

1320782580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320782580 is an abundant number, since it is smaller than the sum of its proper divisors (2993781492).

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

1320782580 is a wasteful number, since it uses less digits than its factorization.

1320782580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564465 (or 564460 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1320782580 is about 36342.5725561634. The cubic root of 1320782580 is about 1097.1780504836.

The spelling of 1320782580 in words is "one billion, three hundred twenty million, seven hundred eighty-two thousand, five hundred eighty".