77060448 has 72 divisors (see below), whose sum is σ = 223842528. Its totient is φ = 25135872.

The previous prime is 77060413. The next prime is 77060449. The reversal of 77060448 is 84406077.

It is a happy number.

77060448 is a `hidden beast` number, since 7 + 7 + 0 + 604 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77060449) 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 11 ways as a sum of consecutive naturals, for example, 10690 + ... + 16382.

It is an arithmetic number, because the mean of its divisors is an integer number (3108924).

Almost surely, 2^77060448 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 77060448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111921264).

77060448 is an abundant number, since it is smaller than the sum of its proper divisors (146782080).

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

77060448 is a wasteful number, since it uses less digits than its factorization.

77060448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77060448 is about 8778.4080561341. The cubic root of 77060448 is about 425.5433843133.

The spelling of 77060448 in words is "seventy-seven million, sixty thousand, four hundred forty-eight".