846810000 has 225 divisors, whose sum is σ = 2992261701. Its totient is φ = 223488000.

The previous prime is 846809969. The next prime is 846810007. The reversal of 846810000 is 18648.

The square root of 846810000 is 29100.

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

It can be written as a sum of positive squares in 7 ways, for example, as 686230416 + 160579584 = 26196^2 + 12672^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×846810000² = 1434174352200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (846810007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8729952 + ... + 8730048.

Almost surely, 2^846810000 is an apocalyptic number.

846810000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

846810000 is the 29100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846810000

846810000 is an abundant number, since it is smaller than the sum of its proper divisors (2145451701).

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

846810000 is an equidigital number, since it uses as much as digits as its factorization.

846810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 846810000 is about 946.0817376672.

Adding to 846810000 its reverse (18648), we get a palindrome (846828648).

The spelling of 846810000 in words is "eight hundred forty-six million, eight hundred ten thousand".