85282880 has 112 divisors (see below), whose sum is σ = 219401136. Its totient is φ = 31457280.

The previous prime is 85282877. The next prime is 85282903. The reversal of 85282880 is 8828258.

It can be written as a sum of positive squares in 8 ways, for example, as 937024 + 84345856 = 968^2 + 9184^2 .

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, 331712 + ... + 331968.

Almost surely, 2^85282880 is an apocalyptic number.

85282880 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 85282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109700568).

85282880 is an abundant number, since it is smaller than the sum of its proper divisors (134118256).

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

85282880 is a wasteful number, since it uses less digits than its factorization.

85282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 85282880 is about 9234.8730364851. The cubic root of 85282880 is about 440.1701821028.

The spelling of 85282880 in words is "eighty-five million, two hundred eighty-two thousand, eight hundred eighty".