388776 has 32 divisors (see below), whose sum is σ = 987840. Its totient is φ = 127488.

The previous prime is 388757. The next prime is 388777. The reversal of 388776 is 677883.

It is a super-2 number, since 2×388776² = 302293556352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388776.

It is not an unprimeable number, because it can be changed into a prime (388777) by changing a digit.

388776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2245 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2³⁸⁸⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

388776 is an abundant number, since it is smaller than the sum of its proper divisors (599064).

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

388776 is a wasteful number, since it uses less digits than its factorization.

388776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 388776 is about 623.5190454188. The cubic root of 388776 is about 72.9849221377.

It can be divided in two parts, 38877 and 6, that added together give a palindrome (38883).

The spelling of 388776 in words is "three hundred eighty-eight thousand, seven hundred seventy-six".