6760820 has 48 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 2421120.

The previous prime is 6760807. The next prime is 6760841. The reversal of 6760820 is 280676.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17186 + ... + 17574.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^6760820 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 6760820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

6760820 is an abundant number, since it is smaller than the sum of its proper divisors (8963980).

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

6760820 is a wasteful number, since it uses less digits than its factorization.

6760820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 6760820 is about 2600.1576875259. The cubic root of 6760820 is about 189.0890839153.

The spelling of 6760820 in words is "six million, seven hundred sixty thousand, eight hundred twenty".