77782016 has 44 divisors (see below), whose sum is σ = 167477352. Its totient is φ = 35893248.

The previous prime is 77782013. The next prime is 77782049. The reversal of 77782016 is 61028777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77782013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10391 + ... + 16233.

Almost surely, 2^77782016 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 77782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83738676).

77782016 is an abundant number, since it is smaller than the sum of its proper divisors (89695336).

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

77782016 is a wasteful number, since it uses less digits than its factorization.

77782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 77782016 is about 8819.4113182230. The cubic root of 77782016 is about 426.8674749203.

The spelling of 77782016 in words is "seventy-seven million, seven hundred eighty-two thousand, sixteen".