77145650340 has 192 divisors, whose sum is σ = 240498720000. Its totient is φ = 18320670720.

The previous prime is 77145650297. The next prime is 77145650357. The reversal of 77145650340 is 4305654177.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77145650292 and 77145650301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6396636 + ... + 6408684.

It is an arithmetic number, because the mean of its divisors is an integer number (1252597500).

Almost surely, 2^77145650340 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 77145650340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120249360000).

77145650340 is an abundant number, since it is smaller than the sum of its proper divisors (163353069660).

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

77145650340 is a wasteful number, since it uses less digits than its factorization.

77145650340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 77145650340 in words is "seventy-seven billion, one hundred forty-five million, six hundred fifty thousand, three hundred forty".