850766416900 has 27 divisors (see below), whose sum is σ = 1846183140319. Its totient is φ = 340302877280.

The previous prime is 850766416883. The next prime is 850766416909. The reversal of 850766416900 is 9614667058.

The square root of 850766416900 is 922370.

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 51444590596 + 799321826304 = 226814^2 + 894048^2 .

It is a super-2 number, since 2×850766416900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (850766416909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9177582 + ... + 9269818.

Almost surely, 2^850766416900 is an apocalyptic number.

850766416900 is the 922370-th square number.

It is an amenable number.

850766416900 is an abundant number, since it is smaller than the sum of its proper divisors (995416723419).

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

850766416900 is an frugal number, since it uses more digits than its factorization.

850766416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184488 (or 92244 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 850766416900 in words is "eight hundred fifty billion, seven hundred sixty-six million, four hundred sixteen thousand, nine hundred".