77132841984 has 297 divisors, whose sum is σ = 245741647879. Its totient is φ = 23284715520.

The previous prime is 77132841977. The next prime is 77132841991. The reversal of 77132841984 is 48914823177.

The square root of 77132841984 is 277728.

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

It is an interprime number because it is at equal distance from previous prime (77132841977) and next prime (77132841991).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77132841984.

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, 293280637 + ... + 293280899.

Almost surely, 2^77132841984 is an apocalyptic number.

77132841984 is the 277728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77132841984

77132841984 is an abundant number, since it is smaller than the sum of its proper divisors (168608805895).

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

77132841984 is a wasteful number, since it uses less digits than its factorization.

77132841984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 279 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 77132841984 in words is "seventy-seven billion, one hundred thirty-two million, eight hundred forty-one thousand, nine hundred eighty-four".