82677881720 has 64 divisors (see below), whose sum is σ = 213242803200. Its totient is φ = 28261031040.

The previous prime is 82677881687. The next prime is 82677881723. The reversal of 82677881720 is 2718877628.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82677881723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353360 + ... + 538719.

It is an arithmetic number, because the mean of its divisors is an integer number (3331918800).

Almost surely, 2^82677881720 is an apocalyptic number.

It is an amenable number.

82677881720 is an abundant number, since it is smaller than the sum of its proper divisors (130564921480).

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

82677881720 is a wasteful number, since it uses less digits than its factorization.

82677881720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892428 (or 892424 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 56.

The spelling of 82677881720 in words is "eighty-two billion, six hundred seventy-seven million, eight hundred eighty-one thousand, seven hundred twenty".