77742822976 has 189 divisors, whose sum is σ = 194833044801. Its totient is φ = 30675101184.

The previous prime is 77742822929. The next prime is 77742822991. The reversal of 77742822976 is 67922824777.

The square root of 77742822976 is 278824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11500417600 + 66242405376 = 107240^2 + 257376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202983681 + ... + 202984063.

Almost surely, 2^77742822976 is an apocalyptic number.

77742822976 is the 278824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77742822976

77742822976 is an abundant number, since it is smaller than the sum of its proper divisors (117090221825).

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

77742822976 is an equidigital number, since it uses as much as digits as its factorization.

77742822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 405 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 61.

The spelling of 77742822976 in words is "seventy-seven billion, seven hundred forty-two million, eight hundred twenty-two thousand, nine hundred seventy-six".