505770804 has 360 divisors, whose sum is σ = 1766367680. Its totient is φ = 123171840.

The previous prime is 505770803. The next prime is 505770809. The reversal of 505770804 is 408077505.

505770804 is a `hidden beast` number, since 5 + 0 + 577 + 0 + 80 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505770803) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5214084 + ... + 5214180.

Almost surely, 2^505770804 is an apocalyptic number.

505770804 is a gapful number since it is divisible by the number (54) 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 505770804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883183840).

505770804 is an abundant number, since it is smaller than the sum of its proper divisors (1260596876).

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

505770804 is a wasteful number, since it uses less digits than its factorization.

505770804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 505770804 is about 22489.3486788746. The cubic root of 505770804 is about 796.7423799784.

The spelling of 505770804 in words is "five hundred five million, seven hundred seventy thousand, eight hundred four".