77305312896 has 256 divisors, whose sum is σ = 239125340160. Its totient is φ = 21672308736.

The previous prime is 77305312867. The next prime is 77305312907. The reversal of 77305312896 is 69821350377.

It is a super-2 number, since 2×77305312896² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35026225 + ... + 35028431.

It is an arithmetic number, because the mean of its divisors is an integer number (934083360).

Almost surely, 2^77305312896 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 77305312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119562670080).

77305312896 is an abundant number, since it is smaller than the sum of its proper divisors (161820027264).

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

77305312896 is a wasteful number, since it uses less digits than its factorization.

77305312896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 77305312896 in words is "seventy-seven billion, three hundred five million, three hundred twelve thousand, eight hundred ninety-six".