1008076240900 has 27 divisors (see below), whose sum is σ = 2187547230421. Its totient is φ = 403226480240.

The previous prime is 1008076240877. The next prime is 1008076240901. The reversal of 1008076240900 is 90426708001.

The square root of 1008076240900 is 1004030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 362907446724 + 645168794176 = 602418^2 + 803224^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1008076240900.

It is not an unprimeable number, because it can be changed into a prime (1008076240901) 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 8 ways as a sum of consecutive naturals, for example, 9990099 + ... + 10090501.

Almost surely, 2^{1008076240900} is an apocalyptic number.

1008076240900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1008076240900 is the 1004030-th square number.

It is an amenable number.

1008076240900 is an abundant number, since it is smaller than the sum of its proper divisors (1179470989521).

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

1008076240900 is an frugal number, since it uses more digits than its factorization.

1008076240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200820 (or 100410 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 1008076240900 in words is "one trillion, eight billion, seventy-six million, two hundred forty thousand, nine hundred".