82380408706300 has 144 divisors (see below), whose sum is σ = 181738461049600. Its totient is φ = 32405847344640.

The previous prime is 82380408706261. The next prime is 82380408706301. The reversal of 82380408706300 is 360780408328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82380408706301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18038186617 + ... + 18038191183.

Almost surely, 2^{82380408706300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82380408706300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90869230524800).

82380408706300 is an abundant number, since it is smaller than the sum of its proper divisors (99358052343300).

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

82380408706300 is a wasteful number, since it uses less digits than its factorization.

82380408706300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 82380408706300 in words is "eighty-two trillion, three hundred eighty billion, four hundred eight million, seven hundred six thousand, three hundred".