6787080 has 96 divisors (see below), whose sum is σ = 23376600. Its totient is φ = 1701888.

The previous prime is 6787069. The next prime is 6787087. The reversal of 6787080 is 807876.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4334724 + 2452356 = 2082^2 + 1566^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6787087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5566 + ... + 6674.

Almost surely, 2^6787080 is an apocalyptic number.

6787080 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 6787080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688300).

6787080 is an abundant number, since it is smaller than the sum of its proper divisors (16589520).

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

6787080 is a wasteful number, since it uses less digits than its factorization.

6787080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 6787080 is about 2605.2024873318. The cubic root of 6787080 is about 189.3335840549. Note that the first 3 decimals are identical.

The spelling of 6787080 in words is "six million, seven hundred eighty-seven thousand, eighty".