6105780 has 60 divisors (see below), whose sum is σ = 19159140. Its totient is φ = 1627776.

The previous prime is 6105773. The next prime is 6105809. The reversal of 6105780 is 875016.

It can be written as a sum of positive squares in 2 ways, for example, as 3709476 + 2396304 = 1926^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 265 + ... + 3504.

It is an arithmetic number, because the mean of its divisors is an integer number (319319).

Almost surely, 2^6105780 is an apocalyptic number.

6105780 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 6105780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579570).

6105780 is an abundant number, since it is smaller than the sum of its proper divisors (13053360).

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

6105780 is a wasteful number, since it uses less digits than its factorization.

6105780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 6105780 is about 2470.9876567883. The cubic root of 6105780 is about 182.7737057721.

The spelling of 6105780 in words is "six million, one hundred five thousand, seven hundred eighty".