81760077 has 48 divisors (see below), whose sum is σ = 145828800. Its totient is φ = 45087840.

The previous prime is 81760037. The next prime is 81760087. The reversal of 81760077 is 77006718.

It is not a de Polignac number, because 81760077 - 2⁶ = 81760013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81760037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37302 + ... + 39432.

It is an arithmetic number, because the mean of its divisors is an integer number (3038100).

Almost surely, 2^81760077 is an apocalyptic number.

81760077 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

81760077 is a deficient number, since it is larger than the sum of its proper divisors (64068723).

81760077 is a wasteful number, since it uses less digits than its factorization.

81760077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 81760077 is about 9042.1279022142. The cubic root of 81760077 is about 434.0240187886.

The spelling of 81760077 in words is "eighty-one million, seven hundred sixty thousand, seventy-seven".