385512777 has 40 divisors (see below), whose sum is σ = 622951560. Its totient is φ = 236183040.

The previous prime is 385512763. The next prime is 385512779. The reversal of 385512777 is 777215583.

385512777 is a `hidden beast` number, since 3 + 8 + 551 + 27 + 77 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22838841 + 362673936 = 4779^2 + 19044^2 .

It is not a de Polignac number, because 385512777 - 2⁸ = 385512521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385512779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282577 + ... + 283937.

It is an arithmetic number, because the mean of its divisors is an integer number (15573789).

Almost surely, 2^385512777 is an apocalyptic number.

It is an amenable number.

385512777 is a deficient number, since it is larger than the sum of its proper divisors (237438783).

385512777 is a wasteful number, since it uses less digits than its factorization.

385512777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1646 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 385512777 is about 19634.4792902689. The cubic root of 385512777 is about 727.8014650272.

It can be divided in two parts, 38551 and 2777, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 385512777 in words is "three hundred eighty-five million, five hundred twelve thousand, seven hundred seventy-seven".