84578480 has 80 divisors (see below), whose sum is σ = 227396160. Its totient is φ = 28655616.

The previous prime is 84578477. The next prime is 84578497. The reversal of 84578480 is 8487548.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×84578480² = 14307038558220800, which contains 22 as substring.

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, 48992 + ... + 50688.

It is an arithmetic number, because the mean of its divisors is an integer number (2842452).

Almost surely, 2^84578480 is an apocalyptic number.

84578480 is a gapful number since it is divisible by the number (80) 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 84578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113698080).

84578480 is an abundant number, since it is smaller than the sum of its proper divisors (142817680).

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

84578480 is a wasteful number, since it uses less digits than its factorization.

84578480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 84578480 is about 9196.6559139722. The cubic root of 84578480 is about 438.9549579066.

It can be divided in two parts, 84578 and 480, that added together give a palindrome (85058).

The spelling of 84578480 in words is "eighty-four million, five hundred seventy-eight thousand, four hundred eighty".