6860800 has 78 divisors (see below), whose sum is σ = 17266628. Its totient is φ = 2703360.

The previous prime is 6860783. The next prime is 6860803. The reversal of 6860800 is 80686.

It is not an unprimeable number, because it can be changed into a prime (6860803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102367 + ... + 102433.

Almost surely, 2^6860800 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 6860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633314).

6860800 is an abundant number, since it is smaller than the sum of its proper divisors (10405828).

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

6860800 is an equidigital number, since it uses as much as digits as its factorization.

6860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6860800 is about 2619.3128869992. The cubic root of 6860800 is about 190.0166190449.

The spelling of 6860800 in words is "six million, eight hundred sixty thousand, eight hundred".