477768 has 32 divisors (see below), whose sum is σ = 1265760. Its totient is φ = 149760.

The previous prime is 477767. The next prime is 477769. The reversal of 477768 is 867774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (477767) and next prime (477769).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477768.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (39555).

2⁴⁷⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

477768 is an abundant number, since it is smaller than the sum of its proper divisors (787992).

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

477768 is a wasteful number, since it uses less digits than its factorization.

477768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 477768 is about 691.2076388467. The cubic root of 477768 is about 78.1758033297.

The spelling of 477768 in words is "four hundred seventy-seven thousand, seven hundred sixty-eight".