900793305 has 80 divisors (see below), whose sum is σ = 1695006720. Its totient is φ = 457135488.

The previous prime is 900793279. The next prime is 900793307. The reversal of 900793305 is 503397009.

900793305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900793305 - 2¹⁰ = 900792281 is a prime.

It is a super-2 number, since 2×900793305² = 1622857156665646050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 900793305.

It is not an unprimeable number, because it can be changed into a prime (900793307) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703656 + ... + 704934.

It is an arithmetic number, because the mean of its divisors is an integer number (21187584).

Almost surely, 2^900793305 is an apocalyptic number.

It is an amenable number.

900793305 is a deficient number, since it is larger than the sum of its proper divisors (794213415).

900793305 is a wasteful number, since it uses less digits than its factorization.

900793305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 900793305 is about 30013.2188377055. The cubic root of 900793305 is about 965.7729781701.

Subtracting from 900793305 its product of nonzero digits (25515), we obtain a triangular number (900767790 = T₄₂₄₄₄).

The spelling of 900793305 in words is "nine hundred million, seven hundred ninety-three thousand, three hundred five".