849358720 has 128 divisors (see below), whose sum is σ = 2421757440. Its totient is φ = 278513664.

The previous prime is 849358663. The next prime is 849358813. The reversal of 849358720 is 27853948.

849358720 is a nontrivial binomial coefficient, being equal to C(41216, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98919 + ... + 107161.

It is an arithmetic number, because the mean of its divisors is an integer number (18919980).

Almost surely, 2^849358720 is an apocalyptic number.

849358720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

849358720 is the 41215-th triangular number and also the 20608-th hexagonal number.

849358720 is the 13739-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210878720).

849358720 is an abundant number, since it is smaller than the sum of its proper divisors (1572398720).

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

849358720 is a wasteful number, since it uses less digits than its factorization.

849358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 849358720 is about 29143.7595378496. The cubic root of 849358720 is about 947.0299560072.

The spelling of 849358720 in words is "eight hundred forty-nine million, three hundred fifty-eight thousand, seven hundred twenty".