849942720 has 420 divisors, whose sum is σ = 3335499552. Its totient is φ = 205286400.

The previous prime is 849942683. The next prime is 849942733. The reversal of 849942720 is 27249948.

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

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 59 ways as a sum of consecutive naturals, for example, 3136185 + ... + 3136455.

Almost surely, 2^849942720 is an apocalyptic number.

849942720 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 849942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667749776).

849942720 is an abundant number, since it is smaller than the sum of its proper divisors (2485556832).

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

849942720 is a wasteful number, since it uses less digits than its factorization.

849942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 849942720 is about 29153.7771137806. Note that the first 3 decimals coincide. The cubic root of 849942720 is about 947.2469584630.

The spelling of 849942720 in words is "eight hundred forty-nine million, nine hundred forty-two thousand, seven hundred twenty".