77091 has 8 divisors (see below), whose sum is σ = 117504. Its totient is φ = 44040.

The previous prime is 77081. The next prime is 77093. The reversal of 77091 is 19077.

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

It is not a de Polignac number, because 77091 - 2⁷ = 76963 is a prime.

77091 is a lucky number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (77093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1815 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (14688).

2⁷⁷⁰⁹¹ is an apocalyptic number.

77091 is a deficient number, since it is larger than the sum of its proper divisors (40413).

77091 is a wasteful number, since it uses less digits than its factorization.

77091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 77091 is about 277.6526607112. The cubic root of 77091 is about 42.5599614991.

It can be divided in two parts, 770 and 91, that added together give a triangular number (861 = T₄₁).

The spelling of 77091 in words is "seventy-seven thousand, ninety-one".