6077000 has 64 divisors (see below), whose sum is σ = 14601600. Its totient is φ = 2366400.

The previous prime is 6076981. The next prime is 6077039. The reversal of 6077000 is 7706.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58949 + ... + 59051.

It is an arithmetic number, because the mean of its divisors is an integer number (228150).

Almost surely, 2^6077000 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 6077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300800).

6077000 is an abundant number, since it is smaller than the sum of its proper divisors (8524600).

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

6077000 is a wasteful number, since it uses less digits than its factorization.

6077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 6077000 is about 2465.1571957991. The cubic root of 6077000 is about 182.4860813805.

Subtracting from 6077000 its product of nonzero digits (294), we obtain a palindrome (6076706).

The spelling of 6077000 in words is "six million, seventy-seven thousand".