85578480 has 240 divisors, whose sum is σ = 318479616. Its totient is φ = 20459520.

The previous prime is 85578473. The next prime is 85578481. The reversal of 85578480 is 8487558.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×85578480² = 14647352478220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85578481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383649 + ... + 383871.

Almost surely, 2^85578480 is an apocalyptic number.

85578480 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 85578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159239808).

85578480 is an abundant number, since it is smaller than the sum of its proper divisors (232901136).

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

85578480 is a wasteful number, since it uses less digits than its factorization.

85578480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 85578480 is about 9250.8637434566. The cubic root of 85578480 is about 440.6781553498.

The spelling of 85578480 in words is "eighty-five million, five hundred seventy-eight thousand, four hundred eighty".