810009000 has 96 divisors (see below), whose sum is σ = 2737860840. Its totient is φ = 216000000.

The previous prime is 810008999. The next prime is 810009023. The reversal of 810009000 is 900018.

It can be written as a sum of positive squares in 4 ways, for example, as 545035716 + 264973284 = 23346^2 + 16278^2 .

It is a super-2 number, since 2×810009000² = 1312229160162000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36001 + ... + 54000.

Almost surely, 2^810009000 is an apocalyptic number.

It is an amenable number.

810009000 is an abundant number, since it is smaller than the sum of its proper divisors (1927851840).

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

810009000 is a wasteful number, since it uses less digits than its factorization.

810009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90028 (or 90011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 810009000 is about 28460.6570549592. The cubic root of 810009000 is about 932.1732042539.

Adding to 810009000 its reverse (900018), we get a palindrome (810909018).

It can be divided in two parts, 81000 and 9000, that multiplied together give a 6-th power (729000000 = 30⁶).

The spelling of 810009000 in words is "eight hundred ten million, nine thousand".