7838820 has 144 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 1831680.

The previous prime is 7838807. The next prime is 7838839. The reversal of 7838820 is 288387.

7838820 is a nontrivial binomial coefficient, being equal to C(3960, 2).

It is a super-2 number, since 2×7838820² = 122894197984800, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 73207 + ... + 73313.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 2^7838820 is an apocalyptic number.

7838820 is the 3959-th triangular number and also the 1980-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

7838820 is an abundant number, since it is smaller than the sum of its proper divisors (19050588).

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

7838820 is a wasteful number, since it uses less digits than its factorization.

7838820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7838820 is about 2799.7892777850. The cubic root of 7838820 is about 198.6477105066.

The spelling of 7838820 in words is "seven million, eight hundred thirty-eight thousand, eight hundred twenty".