77934201345 has 768 divisors, whose sum is σ = 205302988800. Its totient is φ = 26824089600.

The previous prime is 77934201329. The next prime is 77934201347. The reversal of 77934201345 is 54310243977.

77934201345 is a `hidden beast` number, since 7 + 7 + 93 + 420 + 134 + 5 = 666.

It is not a de Polignac number, because 77934201345 - 2⁴ = 77934201329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 77934201345.

It is not an unprimeable number, because it can be changed into a prime (77934201347) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1163197002 + ... + 1163197068.

It is an arithmetic number, because the mean of its divisors is an integer number (267321600).

Almost surely, 2^77934201345 is an apocalyptic number.

It is an amenable number.

77934201345 is an abundant number, since it is smaller than the sum of its proper divisors (127368787455).

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

77934201345 is a wasteful number, since it uses less digits than its factorization.

77934201345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 77934201345 in words is "seventy-seven billion, nine hundred thirty-four million, two hundred one thousand, three hundred forty-five".