6006780 has 144 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1382400.

The previous prime is 6006779. The next prime is 6006809. The reversal of 6006780 is 876006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39705 + ... + 39855.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 2^6006780 is an apocalyptic number.

6006780 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 6006780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

6006780 is an abundant number, since it is smaller than the sum of its proper divisors (14907204).

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

6006780 is a wasteful number, since it uses less digits than its factorization.

6006780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

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

The square root of 6006780 is about 2450.8733137394. The cubic root of 6006780 is about 181.7804783941.

It can be divided in two parts, 6006 and 780, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 6006780 in words is "six million, six thousand, seven hundred eighty".