77667336 has 80 divisors (see below), whose sum is σ = 225096300. Its totient is φ = 24990336.

The previous prime is 77667323. The next prime is 77667367. The reversal of 77667336 is 63376677.

It can be written as a sum of positive squares in 2 ways, for example, as 76212900 + 1454436 = 8730^2 + 1206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77667291 and 77667300.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16726 + ... + 20858.

Almost surely, 2^77667336 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 77667336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112548150).

77667336 is an abundant number, since it is smaller than the sum of its proper divisors (147428964).

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

77667336 is a wasteful number, since it uses less digits than its factorization.

77667336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4167 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 77667336 is about 8812.9073522873. The cubic root of 77667336 is about 426.6575838995.

The spelling of 77667336 in words is "seventy-seven million, six hundred sixty-seven thousand, three hundred thirty-six".