82377348456757 has 8 divisors (see below), whose sum is σ = 82426691880000. Its totient is φ = 82328019622944.

The previous prime is 82377348456743. The next prime is 82377348456817. The reversal of 82377348456757 is 75765484377328.

It is a happy number.

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 82377348456757 - 2²⁷ = 82377214239029 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 (82377348456727) 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, 7659258 + ... + 14947204.

It is an arithmetic number, because the mean of its divisors is an integer number (10303336485000).

Almost surely, 2^{82377348456757} is an apocalyptic number.

It is an amenable number.

82377348456757 is a deficient number, since it is larger than the sum of its proper divisors (49343423243).

82377348456757 is a wasteful number, since it uses less digits than its factorization.

82377348456757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294715.

The product of its digits is 6638284800, while the sum is 76.

The spelling of 82377348456757 in words is "eighty-two trillion, three hundred seventy-seven billion, three hundred forty-eight million, four hundred fifty-six thousand, seven hundred fifty-seven".