849245760 has 252 divisors, whose sum is σ = 3212060124. Its totient is φ = 205793280.

The previous prime is 849245759. The next prime is 849245779. The reversal of 849245760 is 67542948.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 589906944 + 259338816 = 24288^2 + 16104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347262 + ... + 349698.

Almost surely, 2^849245760 is an apocalyptic number.

849245760 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 849245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606030062).

849245760 is an abundant number, since it is smaller than the sum of its proper divisors (2362814364).

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

849245760 is a wasteful number, since it uses less digits than its factorization.

849245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 849245760 is about 29141.8214942031. The cubic root of 849245760 is about 946.9879709016.

The spelling of 849245760 in words is "eight hundred forty-nine million, two hundred forty-five thousand, seven hundred sixty".