506777000 has 64 divisors (see below), whose sum is σ = 1191574800. Its totient is φ = 201734400.

The previous prime is 506776997. The next prime is 506777017. The reversal of 506777000 is 777605.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 255808036 + 250968964 = 15994^2 + 15842^2 .

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, 227894 + ... + 230106.

Almost surely, 2^506777000 is an apocalyptic number.

506777000 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 506777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595787400).

506777000 is an abundant number, since it is smaller than the sum of its proper divisors (684797800).

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

506777000 is a wasteful number, since it uses less digits than its factorization.

506777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 506777000 is about 22511.7080649159. The cubic root of 506777000 is about 797.2703845923.

The spelling of 506777000 in words is "five hundred six million, seven hundred seventy-seven thousand".