77630448 has 160 divisors (see below), whose sum is σ = 245698560. Its totient is φ = 20643840.

The previous prime is 77630431. The next prime is 77630453. The reversal of 77630448 is 84403677.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 301936 + ... + 302192.

It is an arithmetic number, because the mean of its divisors is an integer number (1535616).

Almost surely, 2^77630448 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 77630448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122849280).

77630448 is an abundant number, since it is smaller than the sum of its proper divisors (168068112).

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

77630448 is a wasteful number, since it uses less digits than its factorization.

77630448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 77630448 is about 8810.8142643004. The cubic root of 77630448 is about 426.5900263818.

The spelling of 77630448 in words is "seventy-seven million, six hundred thirty thousand, four hundred forty-eight".