1020780321 has 48 divisors (see below), whose sum is σ = 1549243584. Its totient is φ = 596992000.

The previous prime is 1020780269. The next prime is 1020780331. The reversal of 1020780321 is 1230870201.

It is not a de Polignac number, because 1020780321 - 2¹¹ = 1020778273 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020780291 and 1020780300.

It is not an unprimeable number, because it can be changed into a prime (1020780331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592161 + ... + 1592801.

It is an arithmetic number, because the mean of its divisors is an integer number (32275908).

Almost surely, 2^1020780321 is an apocalyptic number.

1020780321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020780321 is a deficient number, since it is larger than the sum of its proper divisors (528463263).

1020780321 is a wasteful number, since it uses less digits than its factorization.

1020780321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1020780321 is about 31949.6529089128. The cubic root of 1020780321 is about 1006.8793398279.

The spelling of 1020780321 in words is "one billion, twenty million, seven hundred eighty thousand, three hundred twenty-one".