85785280 has 84 divisors (see below), whose sum is σ = 237670848. Its totient is φ = 29406720.

The previous prime is 85785269. The next prime is 85785283. The reversal of 85785280 is 8258758.

It is a super-2 number, since 2×85785280² = 14718228529356800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85785283) 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 11 ways as a sum of consecutive naturals, for example, 12945 + ... + 18415.

Almost surely, 2^85785280 is an apocalyptic number.

85785280 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 85785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118835424).

85785280 is an abundant number, since it is smaller than the sum of its proper divisors (151885568).

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

85785280 is a wasteful number, since it uses less digits than its factorization.

85785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The square root of 85785280 is about 9262.0343337735. The cubic root of 85785280 is about 441.0328353816.

The spelling of 85785280 in words is "eighty-five million, seven hundred eighty-five thousand, two hundred eighty".