77601 has 4 divisors (see below), whose sum is σ = 103472. Its totient is φ = 51732.

The previous prime is 77591. The next prime is 77611. The reversal of 77601 is 10677.

77601 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10677 = 3 ⋅3559.

It is an interprime number because it is at equal distance from previous prime (77591) and next prime (77611).

It is not a de Polignac number, because 77601 - 2⁵ = 77569 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

77601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (77611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12931 + ... + 12936.

It is an arithmetic number, because the mean of its divisors is an integer number (25868).

2⁷⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

77601 is a deficient number, since it is larger than the sum of its proper divisors (25871).

77601 is a wasteful number, since it uses less digits than its factorization.

77601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25870.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 77601 is about 278.5695604333. The cubic root of 77601 is about 42.6536079285.

The spelling of 77601 in words is "seventy-seven thousand, six hundred one".