82779101136 has 60 divisors (see below), whose sum is σ = 231822906432. Its totient is φ = 27574406208.

The previous prime is 82779101131. The next prime is 82779101177. The reversal of 82779101136 is 63110197728.

It is a junction number, because it is equal to n+sod(n) for n = 82779101091 and 82779101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82779101131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20835 + ... + 407421.

Almost surely, 2^82779101136 is an apocalyptic number.

It is an amenable number.

82779101136 is an abundant number, since it is smaller than the sum of its proper divisors (149043805296).

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

82779101136 is a wasteful number, since it uses less digits than its factorization.

82779101136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388088 (or 388079 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 82779101136 in words is "eighty-two billion, seven hundred seventy-nine million, one hundred one thousand, one hundred thirty-six".