6000777 has 16 divisors (see below), whose sum is σ = 8976000. Its totient is φ = 3961872.

The previous prime is 6000773. The next prime is 6000793. The reversal of 6000777 is 7770006.

6000777 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6000777 - 2² = 6000773 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

6000777 is a modest number, since divided by 777 gives 6 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 6000777.

It is not an unprimeable number, because it can be changed into a prime (6000773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924 + ... + 3962.

It is an arithmetic number, because the mean of its divisors is an integer number (561000).

Almost surely, 2^6000777 is an apocalyptic number.

It is an amenable number.

6000777 is a deficient number, since it is larger than the sum of its proper divisors (2975223).

6000777 is a wasteful number, since it uses less digits than its factorization.

6000777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 6000777 is about 2449.6483421095. The cubic root of 6000777 is about 181.7199028485.

The spelling of 6000777 in words is "six million, seven hundred seventy-seven", and thus it is an aban number.