5777000 has 64 divisors (see below), whose sum is σ = 13899600. Its totient is φ = 2246400.

The previous prime is 5776999. The next prime is 5777017. The reversal of 5777000 is 7775.

It can be written as a sum of positive squares in 8 ways, for example, as 857476 + 4919524 = 926^2 + 2218^2 .

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52946 + ... + 53054.

Almost surely, 2^5777000 is an apocalyptic number.

5777000 is a gapful number since it is divisible by the number (50) 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 5777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949800).

5777000 is an abundant number, since it is smaller than the sum of its proper divisors (8122600).

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

5777000 is a wasteful number, since it uses less digits than its factorization.

5777000 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 1715, while the sum is 26.

The square root of 5777000 is about 2403.5390573070. The cubic root of 5777000 is about 179.4323682278.

The spelling of 5777000 in words is "five million, seven hundred seventy-seven thousand".