77409707076 has 405 divisors, whose sum is σ = 232615115733. Its totient is φ = 22436144640.

The previous prime is 77409707057. The next prime is 77409707087. The reversal of 77409707076 is 67070790477.

The square root of 77409707076 is 278226.

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

It can be written as a sum of positive squares in 13 ways, for example, as 75795596100 + 1614110976 = 275310^2 + 40176^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1888041616 + ... + 1888041656.

Almost surely, 2^77409707076 is an apocalyptic number.

77409707076 is the 278226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77409707076

77409707076 is an abundant number, since it is smaller than the sum of its proper divisors (155205408657).

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

77409707076 is a wasteful number, since it uses less digits than its factorization.

77409707076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3630312, while the sum is 54.

The spelling of 77409707076 in words is "seventy-seven billion, four hundred nine million, seven hundred seven thousand, seventy-six".