5106780 has 144 divisors (see below), whose sum is σ = 18577440. Its totient is φ = 1161216.

The previous prime is 5106757. The next prime is 5106781. The reversal of 5106780 is 876015.

5106780 = 210² + 211² + ... + 290².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26364 + ... + 26556.

It is an arithmetic number, because the mean of its divisors is an integer number (129010).

Almost surely, 2^5106780 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 5106780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9288720).

5106780 is an abundant number, since it is smaller than the sum of its proper divisors (13470660).

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

5106780 is a wasteful number, since it uses less digits than its factorization.

5106780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

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

The square root of 5106780 is about 2259.8185767889. The cubic root of 5106780 is about 172.2063055395.

It can be divided in two parts, 5106 and 780, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5106780 in words is "five million, one hundred six thousand, seven hundred eighty".