85577280 has 112 divisors (see below), whose sum is σ = 274807680. Its totient is φ = 22560768.

The previous prime is 85577279. The next prime is 85577281. The reversal of 85577280 is 8277558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85577279) and next prime (85577281).

It is not an unprimeable number, because it can be changed into a prime (85577281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92661 + ... + 93579.

It is an arithmetic number, because the mean of its divisors is an integer number (2453640).

Almost surely, 2^85577280 is an apocalyptic number.

85577280 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 85577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403840).

85577280 is an abundant number, since it is smaller than the sum of its proper divisors (189230400).

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

85577280 is a wasteful number, since it uses less digits than its factorization.

85577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 85577280 is about 9250.7988844207. The cubic root of 85577280 is about 440.6760955786.

The spelling of 85577280 in words is "eighty-five million, five hundred seventy-seven thousand, two hundred eighty".