77444928 has 168 divisors, whose sum is σ = 256763520. Its totient is φ = 22056960.

The previous prime is 77444923. The next prime is 77444951. The reversal of 77444928 is 82944477.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77444921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107353 + ... + 108071.

Almost surely, 2^77444928 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 77444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

77444928 is an abundant number, since it is smaller than the sum of its proper divisors (179318592).

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

77444928 is a wasteful number, since it uses less digits than its factorization.

77444928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 752 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 77444928 is about 8800.2799955456. The cubic root of 77444928 is about 426.2499359884.

It can be divided in two parts, 774449 and 28, that added together give a palindrome (774477).

The spelling of 77444928 in words is "seventy-seven million, four hundred forty-four thousand, nine hundred twenty-eight".