85280000 has 180 divisors, whose sum is σ = 234665508. Its totient is φ = 30720000.

The previous prime is 85279993. The next prime is 85280029. The reversal of 85280000 is 8258.

It can be written as a sum of positive squares in 10 ways, for example, as 85229824 + 50176 = 9232^2 + 224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2079980 + ... + 2080020.

Almost surely, 2^85280000 is an apocalyptic number.

85280000 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 85280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117332754).

85280000 is an abundant number, since it is smaller than the sum of its proper divisors (149385508).

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

85280000 is an equidigital number, since it uses as much as digits as its factorization.

85280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 85280000 is about 9234.7171044922. The cubic root of 85280000 is about 440.1652272029.

Adding to 85280000 its reverse (8258), we get a palindrome (85288258).

The spelling of 85280000 in words is "eighty-five million, two hundred eighty thousand".