6123780 has 72 divisors (see below), whose sum is σ = 20011992. Its totient is φ = 1506816.

The previous prime is 6123749. The next prime is 6123781. The reversal of 6123780 is 873216.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 5008644 = 1056^2 + 2238^2 .

It is not an unprimeable number, because it can be changed into a prime (6123781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032 + ... + 3648.

Almost surely, 2^6123780 is an apocalyptic number.

6123780 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 6123780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005996).

6123780 is an abundant number, since it is smaller than the sum of its proper divisors (13888212).

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

6123780 is a wasteful number, since it uses less digits than its factorization.

6123780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6123780 is about 2474.6272446573. The cubic root of 6123780 is about 182.9531367953.

Adding to 6123780 its reverse (873216), we get a palindrome (6996996).

It can be divided in two parts, 6123 and 780, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 6123780 in words is "six million, one hundred twenty-three thousand, seven hundred eighty".