77701005001 has 27 divisors (see below), whose sum is σ = 87214455111. Its totient is φ = 69201111744.

The previous prime is 77701004947. The next prime is 77701005049. The reversal of 77701005001 is 10050010777.

The square root of 77701005001 is 278749.

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., 60493862025 + 17207142976 = 245955^2 + 131176^2 .

It is not a de Polignac number, because 77701005001 - 2²¹ = 77698907849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77701005091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90035496 + ... + 90036358.

Almost surely, 2^77701005001 is an apocalyptic number.

77701005001 is the 278749-th square number.

77701005001 is the 139375-th centered octagonal number.

It is an amenable number.

77701005001 is a deficient number, since it is larger than the sum of its proper divisors (9513450110).

77701005001 is an frugal number, since it uses more digits than its factorization.

77701005001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 28.

Adding to 77701005001 its reverse (10050010777), we get a palindrome (87751015778).

The spelling of 77701005001 in words is "seventy-seven billion, seven hundred one million, five thousand, one".