82366777766328 has 128 divisors (see below), whose sum is σ = 225020898512640. Its totient is φ = 24916948992000.

The previous prime is 82366777766323. The next prime is 82366777766389.

82366777766328 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82366777766323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254086226 + ... + 1254151902.

It is an arithmetic number, because the mean of its divisors is an integer number (1757975769630).

Almost surely, 2^{82366777766328} is an apocalyptic number.

82366777766328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82366777766328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112510449256320).

82366777766328 is an abundant number, since it is smaller than the sum of its proper divisors (142654120746312).

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

82366777766328 is a wasteful number, since it uses less digits than its factorization.

82366777766328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73749 (or 73745 counting only the distinct ones).

The product of its digits is 7169347584, while the sum is 78.

The spelling of 82366777766328 in words is "eighty-two trillion, three hundred sixty-six billion, seven hundred seventy-seven million, seven hundred sixty-six thousand, three hundred twenty-eight".