85807776 has 48 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 28529664.

The previous prime is 85807769. The next prime is 85807817. The reversal of 85807776 is 67770858.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47400 + ... + 49176.

It is an arithmetic number, because the mean of its divisors is an integer number (4704588).

Almost surely, 2^85807776 is an apocalyptic number.

It is an amenable number.

85807776 is an abundant number, since it is smaller than the sum of its proper divisors (140012448).

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

85807776 is a wasteful number, since it uses less digits than its factorization.

85807776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The square root of 85807776 is about 9263.2486741963. The cubic root of 85807776 is about 441.0713835938.

The spelling of 85807776 in words is "eighty-five million, eight hundred seven thousand, seven hundred seventy-six".