849780624 has 160 divisors (see below), whose sum is σ = 2881244160. Its totient is φ = 209088000.

The previous prime is 849780559. The next prime is 849780647. The reversal of 849780624 is 426087948.

849780624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64174 + ... + 76274.

It is an arithmetic number, because the mean of its divisors is an integer number (18007776).

Almost surely, 2^849780624 is an apocalyptic number.

849780624 is a gapful number since it is divisible by the number (84) 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 849780624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440622080).

849780624 is an abundant number, since it is smaller than the sum of its proper divisors (2031463536).

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

849780624 is a wasteful number, since it uses less digits than its factorization.

849780624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 849780624 is about 29150.9969640834. The cubic root of 849780624 is about 947.1867368733.

The spelling of 849780624 in words is "eight hundred forty-nine million, seven hundred eighty thousand, six hundred twenty-four".