75977677957 has 8 divisors (see below), whose sum is σ = 77135035160. Its totient is φ = 74823471360.

The previous prime is 75977677913. The next prime is 75977678003.

75977677957 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 32619610881 + 43358067076 = 180609^2 + 208226^2 .

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 75977677957 - 2²³ = 75969289349 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 (75977674957) 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, 739032 + ... + 835537.

It is an arithmetic number, because the mean of its divisors is an integer number (9641879395).

Almost surely, 2^75977677957 is an apocalyptic number.

It is an amenable number.

75977677957 is a deficient number, since it is larger than the sum of its proper divisors (1157357203).

75977677957 is a wasteful number, since it uses less digits than its factorization.

75977677957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575303.

The product of its digits is 1429435350, while the sum is 76.

The spelling of 75977677957 in words is "seventy-five billion, nine hundred seventy-seven million, six hundred seventy-seven thousand, nine hundred fifty-seven".