77045716430412 has 288 divisors, whose sum is σ = 196855846387200. Its totient is φ = 23420903632896.

The previous prime is 77045716430411. The next prime is 77045716430429. The reversal of 77045716430412 is 21403461754077.

It is not an unprimeable number, because it can be changed into a prime (77045716430411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8339178889 + ... + 8339188127.

It is an arithmetic number, because the mean of its divisors is an integer number (683527244400).

Almost surely, 2^{77045716430412} 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 77045716430412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98427923193600).

77045716430412 is an abundant number, since it is smaller than the sum of its proper divisors (119810129956788).

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

77045716430412 is a wasteful number, since it uses less digits than its factorization.

77045716430412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9885 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 77045716430412 in words is "seventy-seven trillion, forty-five billion, seven hundred sixteen million, four hundred thirty thousand, four hundred twelve".