77957 has 8 divisors (see below), whose sum is σ = 89760. Its totient is φ = 66960.

The previous prime is 77951. The next prime is 77969. The reversal of 77957 is 75977.

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 77957 - 2⁶ = 77893 is a prime.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (11220).

2⁷⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

77957 is a deficient number, since it is larger than the sum of its proper divisors (11803).

77957 is a wasteful number, since it uses less digits than its factorization.

77957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its digits is 15435, while the sum is 35.

The square root of 77957 is about 279.2078079137. The cubic root of 77957 is about 42.7187339069.

The spelling of 77957 in words is "seventy-seven thousand, nine hundred fifty-seven".