77916032 has 64 divisors (see below), whose sum is σ = 167333040. Its totient is φ = 36003840.

The previous prime is 77915963. The next prime is 77916037. The reversal of 77916032 is 23061977.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 77915983 and 77916001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77916037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132443 + ... + 133029.

Almost surely, 2^77916032 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 77916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83666520).

77916032 is an abundant number, since it is smaller than the sum of its proper divisors (89417008).

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

77916032 is a wasteful number, since it uses less digits than its factorization.

77916032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 77916032 is about 8827.0058343699. The cubic root of 77916032 is about 427.1124940586.

The spelling of 77916032 in words is "seventy-seven million, nine hundred sixteen thousand, thirty-two".