75677657 has 8 divisors (see below), whose sum is σ = 83553120. Its totient is φ = 67968160.

The previous prime is 75677647. The next prime is 75677671.

75677657 is nontrivially palindromic in base 10.

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 75677657 - 2¹⁴ = 75661273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75677647) 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, 40532 + ... + 42357.

It is an arithmetic number, because the mean of its divisors is an integer number (10444140).

Almost surely, 2^75677657 is an apocalyptic number.

It is an amenable number.

75677657 is a deficient number, since it is larger than the sum of its proper divisors (7875463).

75677657 is a wasteful number, since it uses less digits than its factorization.

75677657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82983.

The product of its digits is 2160900, while the sum is 50.

The square root of 75677657 is about 8699.2906032619. The cubic root of 75677657 is about 422.9826553516.

The spelling of 75677657 in words is "seventy-five million, six hundred seventy-seven thousand, six hundred fifty-seven".