82777563792 has 200 divisors, whose sum is σ = 298700352192. Its totient is φ = 21500640000.

The previous prime is 82777563773. The next prime is 82777563793. The reversal of 82777563792 is 29736577728.

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 (82777563793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 314959 + ... + 514542.

Almost surely, 2^82777563792 is an apocalyptic number.

It is an amenable number.

82777563792 is an abundant number, since it is smaller than the sum of its proper divisors (215922788400).

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

82777563792 is a wasteful number, since it uses less digits than its factorization.

82777563792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829539 (or 829524 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 82777563792 in words is "eighty-two billion, seven hundred seventy-seven million, five hundred sixty-three thousand, seven hundred ninety-two".