477780 has 24 divisors (see below), whose sum is σ = 1337952. Its totient is φ = 127392.

The previous prime is 477769. The next prime is 477791. The reversal of 477780 is 87774.

477780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (477769) and next prime (477791).

It is a congruent number.

It is an unprimeable number.

477780 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, 3922 + ... + 4041.

It is an arithmetic number, because the mean of its divisors is an integer number (55748).

2⁴⁷⁷⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

477780 is an abundant number, since it is smaller than the sum of its proper divisors (860172).

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

477780 is a wasteful number, since it uses less digits than its factorization.

477780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 477780 is about 691.2163192518. The cubic root of 477780 is about 78.1764578327.

The spelling of 477780 in words is "four hundred seventy-seven thousand, seven hundred eighty".