305776 has 20 divisors (see below), whose sum is σ = 613800. Its totient is φ = 147392.

The previous prime is 305771. The next prime is 305783. The reversal of 305776 is 677503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305771) by changing a digit.

305776 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 3 ways as a sum of consecutive naturals, for example, 135 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (30690).

2³⁰⁵⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306900).

305776 is an abundant number, since it is smaller than the sum of its proper divisors (308024).

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

305776 is a wasteful number, since it uses less digits than its factorization.

305776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 305776 is about 552.9701619437. The cubic root of 305776 is about 67.3701940665.

It can be divided in two parts, 305 and 776, that added together give a triangular number (1081 = T₄₆).

The spelling of 305776 in words is "three hundred five thousand, seven hundred seventy-six".