77350371345 has 72 divisors (see below), whose sum is σ = 145597026744. Its totient is φ = 37970989056.

The previous prime is 77350371323. The next prime is 77350371359. The reversal of 77350371345 is 54317305377.

77350371345 is a `hidden beast` number, since 7 + 7 + 3 + 503 + 7 + 134 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 60712467201 + 16637904144 = 246399^2 + 128988^2 .

It is not a de Polignac number, because 77350371345 - 2⁵ = 77350371313 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 77350371345.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2670159 + ... + 2698971.

It is an arithmetic number, because the mean of its divisors is an integer number (2022180927).

Almost surely, 2^77350371345 is an apocalyptic number.

It is an amenable number.

77350371345 is a deficient number, since it is larger than the sum of its proper divisors (68246655399).

77350371345 is a wasteful number, since it uses less digits than its factorization.

77350371345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29203 (or 29187 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 77350371345 in words is "seventy-seven billion, three hundred fifty million, three hundred seventy-one thousand, three hundred forty-five".