82779336 has 48 divisors (see below), whose sum is σ = 224684460. Its totient is φ = 27532800.

The previous prime is 82779329. The next prime is 82779337. The reversal of 82779336 is 63397728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70459236 + 12320100 = 8394^2 + 3510^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82779291 and 82779300.

It is not an unprimeable number, because it can be changed into a prime (82779337) 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, 42316 + ... + 44228.

Almost surely, 2^82779336 is an apocalyptic number.

It is an amenable number.

82779336 is an abundant number, since it is smaller than the sum of its proper divisors (141905124).

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

82779336 is a wasteful number, since it uses less digits than its factorization.

82779336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2519 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 82779336 is about 9098.3150088354. The cubic root of 82779336 is about 435.8201570093.

The spelling of 82779336 in words is "eighty-two million, seven hundred seventy-nine thousand, three hundred thirty-six".