77349636 has 108 divisors (see below), whose sum is σ = 245013132. Its totient is φ = 20393856.

The previous prime is 77349617. The next prime is 77349653. The reversal of 77349636 is 63694377.

77349636 is a `hidden beast` number, since 7 + 7 + 3 + 4 + 9 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 27562500 = 7056^2 + 5250^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 77349591 and 77349600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21246 + ... + 24618.

Almost surely, 2^77349636 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 77349636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122506566).

77349636 is an abundant number, since it is smaller than the sum of its proper divisors (167663496).

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

77349636 is a wasteful number, since it uses less digits than its factorization.

77349636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3398 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 77349636 is about 8794.8641831469. The cubic root of 77349636 is about 426.0750380281.

The spelling of 77349636 in words is "seventy-seven million, three hundred forty-nine thousand, six hundred thirty-six".