77769216 has 120 divisors (see below), whose sum is σ = 256617504. Its totient is φ = 22210560.

The previous prime is 77769191. The next prime is 77769217. The reversal of 77769216 is 61296777.

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

It is not an unprimeable number, because it can be changed into a prime (77769217) 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, 31051 + ... + 33461.

Almost surely, 2^77769216 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 77769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128308752).

77769216 is an abundant number, since it is smaller than the sum of its proper divisors (178848288).

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

77769216 is a wasteful number, since it uses less digits than its factorization.

77769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2423 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 77769216 is about 8818.6856163490. The cubic root of 77769216 is about 426.8440581817.

The spelling of 77769216 in words is "seventy-seven million, seven hundred sixty-nine thousand, two hundred sixteen".