7849820 has 48 divisors (see below), whose sum is σ = 18579456. Its totient is φ = 2760000.

The previous prime is 7849817. The next prime is 7849837. The reversal of 7849820 is 289487.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6245 + ... + 7395.

It is an arithmetic number, because the mean of its divisors is an integer number (387072).

Almost surely, 2^7849820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7849820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289728).

7849820 is an abundant number, since it is smaller than the sum of its proper divisors (10729636).

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

7849820 is a wasteful number, since it uses less digits than its factorization.

7849820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 7849820 is about 2801.7530226628. The cubic root of 7849820 is about 198.7405860288.

The spelling of 7849820 in words is "seven million, eight hundred forty-nine thousand, eight hundred twenty".