77944608 has 216 divisors, whose sum is σ = 270938304. Its totient is φ = 20782080.

The previous prime is 77944597. The next prime is 77944621. The reversal of 77944608 is 80644977.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1901068 + ... + 1901108.

It is an arithmetic number, because the mean of its divisors is an integer number (1254344).

Almost surely, 2^77944608 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 77944608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135469152).

77944608 is an abundant number, since it is smaller than the sum of its proper divisors (192993696).

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

77944608 is a wasteful number, since it uses less digits than its factorization.

77944608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77944608 is about 8828.6243549038. The cubic root of 77944608 is about 427.1647027185.

The spelling of 77944608 in words is "seventy-seven million, nine hundred forty-four thousand, six hundred eight".