477680 has 40 divisors (see below), whose sum is σ = 1270752. Its totient is φ = 163584.

The previous prime is 477677. The next prime is 477721. The reversal of 477680 is 86774.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134 + ... + 986.

2⁴⁷⁷⁶⁸⁰ is an apocalyptic number.

477680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635376).

477680 is an abundant number, since it is smaller than the sum of its proper divisors (793072).

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

477680 is a wasteful number, since it uses less digits than its factorization.

477680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 477680 is about 691.1439792113. The cubic root of 477680 is about 78.1710033060.

The spelling of 477680 in words is "four hundred seventy-seven thousand, six hundred eighty".