849794000 has 240 divisors, whose sum is σ = 2387900736. Its totient is φ = 290016000.

The previous prime is 849793991. The next prime is 849794063. The reversal of 849794000 is 497948.

849794000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7941947 + ... + 7942053.

Almost surely, 2^849794000 is an apocalyptic number.

849794000 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 849794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193950368).

849794000 is an abundant number, since it is smaller than the sum of its proper divisors (1538106736).

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

849794000 is a wasteful number, since it uses less digits than its factorization.

849794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 849794000 is about 29151.2263892962. The cubic root of 849794000 is about 947.1917065886.

The spelling of 849794000 in words is "eight hundred forty-nine million, seven hundred ninety-four thousand".