803766040900 has 27 divisors (see below), whose sum is σ = 1744191763671. Its totient is φ = 321502830240.

The previous prime is 803766040877. The next prime is 803766040943. The reversal of 803766040900 is 9040667308.

It is a happy number.

The square root of 803766040900 is 896530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 115609520196 + 688156520704 = 340014^2 + 829552^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 8920474 + ... + 9010126.

Almost surely, 2^803766040900 is an apocalyptic number.

803766040900 is the 896530-th square number.

It is an amenable number.

803766040900 is an abundant number, since it is smaller than the sum of its proper divisors (940425722771).

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

803766040900 is an frugal number, since it uses more digits than its factorization.

803766040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179320 (or 89660 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 803766040900 in words is "eight hundred three billion, seven hundred sixty-six million, forty thousand, nine hundred".