77667648 has 56 divisors (see below), whose sum is σ = 212140800. Its totient is φ = 25052160.

The previous prime is 77667647. The next prime is 77667697. The reversal of 77667648 is 84676677.

It is a self number, because there is not a number n which added to its sum of digits gives 77667648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77667647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573 + ... + 12476.

Almost surely, 2^77667648 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 77667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106070400).

77667648 is an abundant number, since it is smaller than the sum of its proper divisors (134473152).

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

77667648 is a wasteful number, since it uses less digits than its factorization.

77667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13085 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 77667648 is about 8812.9250535790. The cubic root of 77667648 is about 426.6581552122.

The spelling of 77667648 in words is "seventy-seven million, six hundred sixty-seven thousand, six hundred forty-eight".