82377725760 has 840 divisors, whose sum is σ = 329099180256. Its totient is φ = 19395348480.

The previous prime is 82377725657. The next prime is 82377725761. The reversal of 82377725760 is 6752777328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82377725697 and 82377725706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82377725761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 992502679 + ... + 992502761.

Almost surely, 2^82377725760 is an apocalyptic number.

82377725760 is a gapful number since it is divisible by the number (80) 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 82377725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164549590128).

82377725760 is an abundant number, since it is smaller than the sum of its proper divisors (246721454496).

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

82377725760 is a wasteful number, since it uses less digits than its factorization.

82377725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 82377725760 in words is "eighty-two billion, three hundred seventy-seven million, seven hundred twenty-five thousand, seven hundred sixty".