77957441 has 8 divisors (see below), whose sum is σ = 79980264. Its totient is φ = 75940480.

The previous prime is 77957417. The next prime is 77957447. The reversal of 77957441 is 14475977.

It can be written as a sum of positive squares in 4 ways, for example, as 2961841 + 74995600 = 1721^2 + 8660^2 .

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 77957441 - 2⁶ = 77957377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77957392 and 77957401.

It is not an unprimeable number, because it can be changed into a prime (77957447) 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, 40595 + ... + 42471.

It is an arithmetic number, because the mean of its divisors is an integer number (9997533).

Almost surely, 2^77957441 is an apocalyptic number.

It is an amenable number.

77957441 is a deficient number, since it is larger than the sum of its proper divisors (2022823).

77957441 is a wasteful number, since it uses less digits than its factorization.

77957441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931.

The product of its digits is 246960, while the sum is 44.

The square root of 77957441 is about 8829.3511086603. The cubic root of 77957441 is about 427.1881445958.

The spelling of 77957441 in words is "seventy-seven million, nine hundred fifty-seven thousand, four hundred forty-one".