4678080 has 112 divisors (see below), whose sum is σ = 16239744. Its totient is φ = 1131520.

The previous prime is 4678073. The next prime is 4678103. The reversal of 4678080 is 808764.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 10339 + ... + 10781.

Almost surely, 2^4678080 is an apocalyptic number.

4678080 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 4678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119872).

4678080 is an abundant number, since it is smaller than the sum of its proper divisors (11561664).

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

4678080 is a wasteful number, since it uses less digits than its factorization.

4678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4678080 is about 2162.8869595982. The cubic root of 4678080 is about 167.2460546347.

The spelling of 4678080 in words is "four million, six hundred seventy-eight thousand, eighty".