6875820 has 192 divisors, whose sum is σ = 26127360. Its totient is φ = 1465344.

The previous prime is 6875819. The next prime is 6875833. The reversal of 6875820 is 285786.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64207 + ... + 64313.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^6875820 is an apocalyptic number.

6875820 is a gapful number since it is divisible by the number (60) 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 6875820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

6875820 is an abundant number, since it is smaller than the sum of its proper divisors (19251540).

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

6875820 is a wasteful number, since it uses less digits than its factorization.

6875820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

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

The square root of 6875820 is about 2622.1784836277. The cubic root of 6875820 is about 190.1551825461.

It can be divided in two parts, 6 and 875820, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 6875820 in words is "six million, eight hundred seventy-five thousand, eight hundred twenty".