77380923648 has 576 divisors, whose sum is σ = 259486617600. Its totient is φ = 19972915200.

The previous prime is 77380923647. The next prime is 77380923691. The reversal of 77380923648 is 84632908377.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (77380923643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447288490 + ... + 447288662.

It is an arithmetic number, because the mean of its divisors is an integer number (450497600).

Almost surely, 2^77380923648 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 77380923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129743308800).

77380923648 is an abundant number, since it is smaller than the sum of its proper divisors (182105693952).

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

77380923648 is a wasteful number, since it uses less digits than its factorization.

77380923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 77380923648 in words is "seventy-seven billion, three hundred eighty million, nine hundred twenty-three thousand, six hundred forty-eight".