6887700 has 72 divisors (see below), whose sum is σ = 22151360. Its totient is φ = 1836000.

The previous prime is 6887681. The next prime is 6887753. The reversal of 6887700 is 77886.

It is a happy number.

It is a super-2 number, since 2×6887700² = 94880822580000, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425 + ... + 3975.

Almost surely, 2^6887700 is an apocalyptic number.

6887700 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 6887700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075680).

6887700 is an abundant number, since it is smaller than the sum of its proper divisors (15263660).

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

6887700 is a wasteful number, since it uses less digits than its factorization.

6887700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2561 counting only the distinct ones).

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

The square root of 6887700 is about 2624.4427980049. The cubic root of 6887700 is about 190.2646358555.

The spelling of 6887700 in words is "six million, eight hundred eighty-seven thousand, seven hundred".