77956648 has 96 divisors (see below), whose sum is σ = 188373600. Its totient is φ = 29904000.

The previous prime is 77956631. The next prime is 77956649. The reversal of 77956648 is 84665977.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77956595 and 77956604.

It is not an unprimeable number, because it can be changed into a prime (77956649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435423 + ... + 435601.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^77956648 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 77956648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94186800).

77956648 is an abundant number, since it is smaller than the sum of its proper divisors (110416952).

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

77956648 is a wasteful number, since it uses less digits than its factorization.

77956648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 77956648 is about 8829.3062015087. The cubic root of 77956648 is about 427.1866961074.

The spelling of 77956648 in words is "seventy-seven million, nine hundred fifty-six thousand, six hundred forty-eight".