82676977680 has 320 divisors, whose sum is σ = 289277485056. Its totient is φ = 19352064000.

The previous prime is 82676977679. The next prime is 82676977687. The reversal of 82676977680 is 8677967628.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (82676977687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48039220 + ... + 48040940.

Almost surely, 2^82676977680 is an apocalyptic number.

82676977680 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 82676977680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144638742528).

82676977680 is an abundant number, since it is smaller than the sum of its proper divisors (206600507376).

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

82676977680 is a wasteful number, since it uses less digits than its factorization.

82676977680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 66.

The spelling of 82676977680 in words is "eighty-two billion, six hundred seventy-six million, nine hundred seventy-seven thousand, six hundred eighty".