776385 has 32 divisors (see below), whose sum is σ = 1416960. Its totient is φ = 408240.

The previous prime is 776357. The next prime is 776389. The reversal of 776385 is 583677.

776385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 776385 - 2⁷ = 776257 is a prime.

776385 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 776385.

It is not an unprimeable number, because it can be changed into a prime (776389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10900 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (44280).

776385 is a Friedman number, since it can be written as (7+58*6)*3^7, using all its digits and the basic arithmetic operations.

2⁷⁷⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

776385 is a deficient number, since it is larger than the sum of its proper divisors (640575).

776385 is an frugal number, since it uses more digits than its factorization.

776385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

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

The square root of 776385 is about 881.1271190924. The cubic root of 776385 is about 91.9092125811.

The spelling of 776385 in words is "seven hundred seventy-six thousand, three hundred eighty-five".