809154220900 has 81 divisors (see below), whose sum is σ = 1835995259833. Its totient is φ = 309510282400.

The previous prime is 809154220811. The next prime is 809154220907. The reversal of 809154220900 is 9022451908.

The square root of 809154220900 is 899530.

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

809154220900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 291295519524 + 517858701376 = 539718^2 + 719624^2 .

It is a super-3 number, since 3×809154220900³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809154220907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206889945 + ... + 206893855.

Almost surely, 2^809154220900 is an apocalyptic number.

809154220900 is the 899530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809154220900

809154220900 is an abundant number, since it is smaller than the sum of its proper divisors (1026841038933).

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

809154220900 is an equidigital number, since it uses as much as digits as its factorization.

809154220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7882 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 809154220900 in words is "eight hundred nine billion, one hundred fifty-four million, two hundred twenty thousand, nine hundred".