77849468928 has 672 divisors, whose sum is σ = 293148227520. Its totient is φ = 20189675520.

The previous prime is 77849468927. The next prime is 77849468929. The reversal of 77849468928 is 82986494877.

77849468928 is a `hidden beast` number, since 7 + 78 + 4 + 9 + 468 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (77849468927) and next prime (77849468929).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77849468927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119217850 + ... + 119218502.

Almost surely, 2^77849468928 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 77849468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146574113760).

77849468928 is an abundant number, since it is smaller than the sum of its proper divisors (215298758592).

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

77849468928 is a wasteful number, since it uses less digits than its factorization.

77849468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 676 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 77849468928 in words is "seventy-seven billion, eight hundred forty-nine million, four hundred sixty-eight thousand, nine hundred twenty-eight".