77763216 has 80 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 25242624.

The previous prime is 77763197. The next prime is 77763223. The reversal of 77763216 is 61236777.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465565 + ... + 465731.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^77763216 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 77763216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

77763216 is an abundant number, since it is smaller than the sum of its proper divisors (128473584).

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

77763216 is a wasteful number, since it uses less digits than its factorization.

77763216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 77763216 is about 8818.3454230371. The cubic root of 77763216 is about 426.8330807009.

The spelling of 77763216 in words is "seventy-seven million, seven hundred sixty-three thousand, two hundred sixteen".