77880972430560 has 384 divisors, whose sum is σ = 269088537231360. Its totient is φ = 18817016832000.

The previous prime is 77880972430489. The next prime is 77880972430561. The reversal of 77880972430560 is 6503427908877.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77880972430491 and 77880972430500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77880972430561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182112985 + ... + 182540135.

It is an arithmetic number, because the mean of its divisors is an integer number (700751399040).

Almost surely, 2^{77880972430560} 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 77880972430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134544268615680).

77880972430560 is an abundant number, since it is smaller than the sum of its proper divisors (191207564800800).

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

77880972430560 is a wasteful number, since it uses less digits than its factorization.

77880972430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427722 (or 427714 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 77880972430560 in words is "seventy-seven trillion, eight hundred eighty billion, nine hundred seventy-two million, four hundred thirty thousand, five hundred sixty".