77844401328660 has 384 divisors, whose sum is σ = 239609629163520. Its totient is φ = 18814026276864.

The previous prime is 77844401328653. The next prime is 77844401328667. The reversal of 77844401328660 is 6682310444877.

It is an interprime number because it is at equal distance from previous prime (77844401328653) and next prime (77844401328667).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77844401328594 and 77844401328603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77844401328667) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1540624317 + ... + 1540674843.

It is an arithmetic number, because the mean of its divisors is an integer number (623983409280).

Almost surely, 2^{77844401328660} 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 77844401328660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119804814581760).

77844401328660 is an abundant number, since it is smaller than the sum of its proper divisors (161765227834860).

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

77844401328660 is a wasteful number, since it uses less digits than its factorization.

77844401328660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51247 (or 51245 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 77844401328660 in words is "seventy-seven trillion, eight hundred forty-four billion, four hundred one million, three hundred twenty-eight thousand, six hundred sixty".