77006805001 has 27 divisors (see below), whose sum is σ = 92842719879. Its totient is φ = 63683149488.

The previous prime is 77006804981. The next prime is 77006805013. The reversal of 77006805001 is 10050860077.

The square root of 77006805001 is 277501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40380500601 + 36626304400 = 200949^2 + 191380^2 .

It is not a de Polignac number, because 77006805001 - 2⁹ = 77006804489 is a prime.

It is a super-2 number, since 2×77006805001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77006805061) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 56332020 + ... + 56333386.

Almost surely, 2^77006805001 is an apocalyptic number.

77006805001 is the 277501-st square number.

77006805001 is the 138751-st centered octagonal number.

It is an amenable number.

77006805001 is a deficient number, since it is larger than the sum of its proper divisors (15835914878).

77006805001 is an frugal number, since it uses more digits than its factorization.

77006805001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 77006805001 in words is "seventy-seven billion, six million, eight hundred five thousand, one".