85778064 has 60 divisors (see below), whose sum is σ = 240853756. Its totient is φ = 28498176.

The previous prime is 85778059. The next prime is 85778081. The reversal of 85778064 is 46087758.

It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 54641664 = 5580^2 + 7392^2 .

It is an unprimeable number.

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, 52914 + ... + 54510.

Almost surely, 2^85778064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85778064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120426878).

85778064 is an abundant number, since it is smaller than the sum of its proper divisors (155075692).

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

85778064 is a wasteful number, since it uses less digits than its factorization.

85778064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85778064 is about 9261.6447783318. The cubic root of 85778064 is about 441.0204689159.

It can be divided in two parts, 8577 and 8064, that added together give a square (16641 = 129²).

The spelling of 85778064 in words is "eighty-five million, seven hundred seventy-eight thousand, sixty-four".