77336224 has 48 divisors (see below), whose sum is σ = 176637888. Its totient is φ = 32643072.

The previous prime is 77336221. The next prime is 77336239. The reversal of 77336224 is 42263377.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77336224.

It is not an unprimeable number, because it can be changed into a prime (77336221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12432 + ... + 17584.

It is an arithmetic number, because the mean of its divisors is an integer number (3679956).

Almost surely, 2^77336224 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 77336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88318944).

77336224 is an abundant number, since it is smaller than the sum of its proper divisors (99301664).

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

77336224 is a wasteful number, since it uses less digits than its factorization.

77336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5229 counting only the distinct ones).

The product of its digits is 42336, while the sum is 34.

The square root of 77336224 is about 8794.1016596353. The cubic root of 77336224 is about 426.0504102512.

The spelling of 77336224 in words is "seventy-seven million, three hundred thirty-six thousand, two hundred twenty-four".