6120800 has 72 divisors (see below), whose sum is σ = 17092656. Its totient is φ = 2096640.

The previous prime is 6120787. The next prime is 6120809. The reversal of 6120800 is 80216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6120809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5054 + ... + 6146.

It is an arithmetic number, because the mean of its divisors is an integer number (237398).

Almost surely, 2^6120800 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 6120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8546328).

6120800 is an abundant number, since it is smaller than the sum of its proper divisors (10971856).

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

6120800 is a wasteful number, since it uses less digits than its factorization.

6120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 6120800 is about 2474.0250605036. The cubic root of 6120800 is about 182.9234553018.

The spelling of 6120800 in words is "six million, one hundred twenty thousand, eight hundred".