477764 has 24 divisors (see below), whose sum is σ = 970368. Its totient is φ = 201600.

The previous prime is 477739. The next prime is 477767. The reversal of 477764 is 467774.

It is not an unprimeable number, because it can be changed into a prime (477767) by changing a digit.

477764 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 7 ways as a sum of consecutive naturals, for example, 3089 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (40432).

2⁴⁷⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

477764 is an abundant number, since it is smaller than the sum of its proper divisors (492604).

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

477764 is a wasteful number, since it uses less digits than its factorization.

477764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its digits is 32928, while the sum is 35.

The square root of 477764 is about 691.2047453541. The cubic root of 477764 is about 78.1755851595.

The spelling of 477764 in words is "four hundred seventy-seven thousand, seven hundred sixty-four".