85778505 has 24 divisors (see below), whose sum is σ = 151125000. Its totient is φ = 44997120.

The previous prime is 85778501. The next prime is 85778513. The reversal of 85778505 is 50587758.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 84989961 = 888^2 + 9219^2 .

It is not a de Polignac number, because 85778505 - 2² = 85778501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85778501) 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 23 ways as a sum of consecutive naturals, for example, 12880 + ... + 18369.

It is an arithmetic number, because the mean of its divisors is an integer number (6296875).

Almost surely, 2^85778505 is an apocalyptic number.

It is an amenable number.

85778505 is a deficient number, since it is larger than the sum of its proper divisors (65346495).

85778505 is a wasteful number, since it uses less digits than its factorization.

85778505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31321 (or 31318 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 85778505 is about 9261.6685861674. The cubic root of 85778505 is about 441.0212247023.

The spelling of 85778505 in words is "eighty-five million, seven hundred seventy-eight thousand, five hundred five".