82377122207744 has 96 divisors (see below), whose sum is σ = 202724949641760. Its totient is φ = 32588751568896.

The previous prime is 82377122207719. The next prime is 82377122207749. The reversal of 82377122207744 is 44770222177328.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 82377122207744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82377122207749) 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, 220820249 + ... + 221192984.

It is an arithmetic number, because the mean of its divisors is an integer number (2111718225435).

Almost surely, 2^{82377122207744} is an apocalyptic number.

It is an amenable number.

82377122207744 is an abundant number, since it is smaller than the sum of its proper divisors (120347827434016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82377122207744 is a wasteful number, since it uses less digits than its factorization.

82377122207744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442013275 (or 442013255 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 56.

The spelling of 82377122207744 in words is "eighty-two trillion, three hundred seventy-seven billion, one hundred twenty-two million, two hundred seven thousand, seven hundred forty-four".