77901 has 8 divisors (see below), whose sum is σ = 108480. Its totient is φ = 49632.

The previous prime is 77899. The next prime is 77929. The reversal of 77901 is 10977.

77901 = 89² + 90² + ... + 97².

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

It is not a de Polignac number, because 77901 - 2¹ = 77899 is a prime.

It is a super-3 number, since 3×77901³ = 1418242033391103, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (13560).

2⁷⁷⁹⁰¹ is an apocalyptic number.

It is an amenable number.

77901 is a deficient number, since it is larger than the sum of its proper divisors (30579).

77901 is a wasteful number, since it uses less digits than its factorization.

77901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155.

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

The square root of 77901 is about 279.1075061692. The cubic root of 77901 is about 42.7085025309.

Subtracting from 77901 its sum of digits (24), we obtain a palindrome (77877).

The spelling of 77901 in words is "seventy-seven thousand, nine hundred one".