6785920 has 64 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 2590720.

The previous prime is 6785917. The next prime is 6785923. The reversal of 6785920 is 295876.

It is an interprime number because it is at equal distance from previous prime (6785917) and next prime (6785923).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6785920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6785923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14490 + ... + 14950.

Almost surely, 2^6785920 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 6785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

6785920 is an abundant number, since it is smaller than the sum of its proper divisors (10178720).

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

6785920 is a wasteful number, since it uses less digits than its factorization.

6785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 6785920 is about 2604.9798463712. The cubic root of 6785920 is about 189.3227969186.

The spelling of 6785920 in words is "six million, seven hundred eighty-five thousand, nine hundred twenty".