77401 has 8 divisors (see below), whose sum is σ = 85320. Its totient is φ = 69888.

The previous prime is 77383. The next prime is 77417. The reversal of 77401 is 10477.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 63001 = 120^2 + 251^2 .

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 77401 - 2⁵ = 77369 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77431) 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, 415 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (10665).

2⁷⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

77401 is a deficient number, since it is larger than the sum of its proper divisors (7919).

77401 is a wasteful number, since it uses less digits than its factorization.

77401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 77401 is about 278.2103520720. The cubic root of 77401 is about 42.6169328822.

Adding to 77401 its reverse (10477), we get a palindrome (87878).

The spelling of 77401 in words is "seventy-seven thousand, four hundred one", and thus it is an iban number.