385776 has 80 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 119232.

The previous prime is 385771. The next prime is 385783. The reversal of 385776 is 677583.

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

It is a self number, because there is not a number n which added to its sum of digits gives 385776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385771) by changing a digit.

385776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8185 + ... + 8231.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2³⁸⁵⁷⁷⁶ is an apocalyptic number.

385776 is a gapful number since it is divisible by the number (36) 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 385776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

385776 is an abundant number, since it is smaller than the sum of its proper divisors (804624).

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

385776 is a wasteful number, since it uses less digits than its factorization.

385776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 385776 is about 621.1086861412. The cubic root of 385776 is about 72.7967071730.

It can be divided in two parts, 38577 and 6, that added together give a palindrome (38583).

The spelling of 385776 in words is "three hundred eighty-five thousand, seven hundred seventy-six".