77201345 has 16 divisors (see below), whose sum is σ = 100290960. Its totient is φ = 56711424.

The previous prime is 77201339. The next prime is 77201347. The reversal of 77201345 is 54310277.

It can be written as a sum of positive squares in 8 ways, for example, as 7579009 + 69622336 = 2753^2 + 8344^2 .

It is a cyclic number.

It is not a de Polignac number, because 77201345 - 2¹² = 77197249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77201347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9791 + ... + 15819.

It is an arithmetic number, because the mean of its divisors is an integer number (6268185).

Almost surely, 2^77201345 is an apocalyptic number.

It is an amenable number.

77201345 is a deficient number, since it is larger than the sum of its proper divisors (23089615).

77201345 is a wasteful number, since it uses less digits than its factorization.

77201345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 77201345 is about 8786.4295934128. The cubic root of 77201345 is about 425.8025803196.

The spelling of 77201345 in words is "seventy-seven million, two hundred one thousand, three hundred forty-five".