82703977776 has 160 divisors (see below), whose sum is σ = 275354042880. Its totient is φ = 23276968704.

The previous prime is 82703977771. The next prime is 82703977859. The reversal of 82703977776 is 67777930728.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82703977771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491 + ... + 406706.

It is an arithmetic number, because the mean of its divisors is an integer number (1720962768).

Almost surely, 2^82703977776 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 82703977776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137677021440).

82703977776 is an abundant number, since it is smaller than the sum of its proper divisors (192650065104).

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

82703977776 is a wasteful number, since it uses less digits than its factorization.

82703977776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408288 (or 408276 counting only the distinct ones).

The product of its (nonzero) digits is 43563744, while the sum is 63.

The spelling of 82703977776 in words is "eighty-two billion, seven hundred three million, nine hundred seventy-seven thousand, seven hundred seventy-six".