7685820 has 96 divisors (see below), whose sum is σ = 24541440. Its totient is φ = 1995840.

The previous prime is 7685809. The next prime is 7685827. The reversal of 7685820 is 285867.

7685820 is a `hidden beast` number, since 76 + 8 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7685827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23055 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (255640).

Almost surely, 2^7685820 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 7685820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270720).

7685820 is an abundant number, since it is smaller than the sum of its proper divisors (16855620).

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

7685820 is a wasteful number, since it uses less digits than its factorization.

7685820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7685820 is about 2772.3311490513. The cubic root of 7685820 is about 197.3467913981.

The spelling of 7685820 in words is "seven million, six hundred eighty-five thousand, eight hundred twenty".