77281064892000 has 864 divisors, whose sum is σ = 289707422213664. Its totient is φ = 19507329792000.

The previous prime is 77281064891983. The next prime is 77281064892007. The reversal of 77281064892000 is 29846018277.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77281064892007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26134954522 + ... + 26134957478.

It is an arithmetic number, because the mean of its divisors is an integer number (335309516451).

Almost surely, 2^{77281064892000} 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 77281064892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144853711106832).

77281064892000 is an abundant number, since it is smaller than the sum of its proper divisors (212426357321664).

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

77281064892000 is a wasteful number, since it uses less digits than its factorization.

77281064892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 4997 counting only the distinct ones).

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

The spelling of 77281064892000 in words is "seventy-seven trillion, two hundred eighty-one billion, sixty-four million, eight hundred ninety-two thousand".