77676596928 has 756 divisors, whose sum is σ = 280819052280. Its totient is φ = 20460109824.

The previous prime is 77676596909. The next prime is 77676596929. The reversal of 77676596928 is 82969567677.

77676596928 is a `hidden beast` number, since 7 + 7 + 6 + 7 + 6 + 596 + 9 + 28 = 666.

It is a super-3 number, since 3×77676596928³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (77676596929) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 725949451 + ... + 725949557.

Almost surely, 2^77676596928 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 77676596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140409526140).

77676596928 is an abundant number, since it is smaller than the sum of its proper divisors (203142455352).

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

77676596928 is a wasteful number, since it uses less digits than its factorization.

77676596928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 225 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 77676596928 in words is "seventy-seven billion, six hundred seventy-six million, five hundred ninety-six thousand, nine hundred twenty-eight".