77560448 has 64 divisors (see below), whose sum is σ = 178459200. Its totient is φ = 32888832.

The previous prime is 77560447. The next prime is 77560459. The reversal of 77560448 is 84406577.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77560447) 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 7 ways as a sum of consecutive naturals, for example, 95468 + ... + 96276.

It is an arithmetic number, because the mean of its divisors is an integer number (2788425).

Almost surely, 2^77560448 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 77560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89229600).

77560448 is an abundant number, since it is smaller than the sum of its proper divisors (100898752).

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

77560448 is a wasteful number, since it uses less digits than its factorization.

77560448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 77560448 is about 8806.8409773312. The cubic root of 77560448 is about 426.4617679364.

The spelling of 77560448 in words is "seventy-seven million, five hundred sixty thousand, four hundred forty-eight".