82376071680 has 960 divisors, whose sum is σ = 331505032320. Its totient is φ = 17340825600.

The previous prime is 82376071643. The next prime is 82376071681. The reversal of 82376071680 is 8617067328.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82376071681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293153140 + ... + 293153420.

It is an arithmetic number, because the mean of its divisors is an integer number (345317742).

Almost surely, 2^82376071680 is an apocalyptic number.

82376071680 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 82376071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165752516160).

82376071680 is an abundant number, since it is smaller than the sum of its proper divisors (249128960640).

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

82376071680 is a wasteful number, since it uses less digits than its factorization.

82376071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 82376071680 in words is "eighty-two billion, three hundred seventy-six million, seventy-one thousand, six hundred eighty".