76800085 has 8 divisors (see below), whose sum is σ = 92574720. Its totient is φ = 61163664.

The previous prime is 76800029. The next prime is 76800131. The reversal of 76800085 is 58000867.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76800085 - 2⁹ = 76799573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76800085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33325 + ... + 35554.

It is an arithmetic number, because the mean of its divisors is an integer number (11571840).

Almost surely, 2^76800085 is an apocalyptic number.

It is an amenable number.

76800085 is a deficient number, since it is larger than the sum of its proper divisors (15774635).

76800085 is a wasteful number, since it uses less digits than its factorization.

76800085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69107.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 76800085 is about 8763.5657697081. The cubic root of 76800085 is about 425.0635844889.

The spelling of 76800085 in words is "seventy-six million, eight hundred thousand, eighty-five".