6785040 has 80 divisors (see below), whose sum is σ = 22284288. Its totient is φ = 1701888.

The previous prime is 6785039. The next prime is 6785047. The reversal of 6785040 is 405876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6784989 and 6785007.

It is not an unprimeable number, because it can be changed into a prime (6785047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 4911.

Almost surely, 2^6785040 is an apocalyptic number.

6785040 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 6785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142144).

6785040 is an abundant number, since it is smaller than the sum of its proper divisors (15499248).

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

6785040 is a wasteful number, since it uses less digits than its factorization.

6785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6785040 is about 2604.8109336380. The cubic root of 6785040 is about 189.3146127537.

The spelling of 6785040 in words is "six million, seven hundred eighty-five thousand, forty".