85776768 has 192 divisors, whose sum is σ = 308056320. Its totient is φ = 22256640.

The previous prime is 85776749. The next prime is 85776791. The reversal of 85776768 is 86767758.

85776768 is a `hidden beast` number, since 8 + 577 + 6 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 88221 + ... + 89187.

It is an arithmetic number, because the mean of its divisors is an integer number (1604460).

Almost surely, 2^85776768 is an apocalyptic number.

85776768 is a gapful number since it is divisible by the number (88) 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 85776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154028160).

85776768 is an abundant number, since it is smaller than the sum of its proper divisors (222279552).

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

85776768 is a wasteful number, since it uses less digits than its factorization.

85776768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 85776768 is about 9261.5748120932. The cubic root of 85776768 is about 441.0182478142.

The spelling of 85776768 in words is "eighty-five million, seven hundred seventy-six thousand, seven hundred sixty-eight".