82777136 has 40 divisors (see below), whose sum is σ = 178686480. Its totient is φ = 36884736.

The previous prime is 82777127. The next prime is 82777147. The reversal of 82777136 is 63177728.

It is a junction number, because it is equal to n+sod(n) for n = 82777093 and 82777102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (4467162).

Almost surely, 2^82777136 is an apocalyptic number.

It is an amenable number.

82777136 is an abundant number, since it is smaller than the sum of its proper divisors (95909344).

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

82777136 is a wasteful number, since it uses less digits than its factorization.

82777136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13773 (or 13767 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 82777136 is about 9098.1941065247. The cubic root of 82777136 is about 435.8162960907.

The spelling of 82777136 in words is "eighty-two million, seven hundred seventy-seven thousand, one hundred thirty-six".