849870000 has 600 divisors, whose sum is σ = 3625839360. Its totient is φ = 181440000.

The previous prime is 849869963. The next prime is 849870013. The reversal of 849870000 is 78948.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11969965 + ... + 11970035.

Almost surely, 2^849870000 is an apocalyptic number.

849870000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812919680).

849870000 is an abundant number, since it is smaller than the sum of its proper divisors (2775969360).

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

849870000 is a wasteful number, since it uses less digits than its factorization.

849870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 849870000 is about 29152.5299073682. The cubic root of 849870000 is about 947.2199426175.

The spelling of 849870000 in words is "eight hundred forty-nine million, eight hundred seventy thousand".