1020075760 has 160 divisors (see below), whose sum is σ = 2731968000. Its totient is φ = 350592000.

The previous prime is 1020075709. The next prime is 1020075761. The reversal of 1020075760 is 675700201.

It is a super-3 number, since 3×1020075760³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020075761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2043991 + ... + 2044489.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^1020075760 is an apocalyptic number.

1020075760 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 1020075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

1020075760 is an abundant number, since it is smaller than the sum of its proper divisors (1711892240).

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

1020075760 is a wasteful number, since it uses less digits than its factorization.

1020075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 1020075760 is about 31938.6248921271. The cubic root of 1020075760 is about 1006.6476310792.

Adding to 1020075760 its reverse (675700201), we get a palindrome (1695775961).

The spelling of 1020075760 in words is "one billion, twenty million, seventy-five thousand, seven hundred sixty".