788000010001 has 8 divisors (see below), whose sum is σ = 803449376424. Its totient is φ = 772572178560.

The previous prime is 788000009987. The next prime is 788000010071. The reversal of 788000010001 is 100010000887.

It can be written as a sum of positive squares in 4 ways, for example, as 257835450625 + 530164559376 = 507775^2 + 728124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 788000010001 - 2⁵ = 788000009969 is a prime.

It is a super-2 number, since 2×788000010001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

788000010001 is a modest number, since divided by 10001 gives 7880 as remainder.

It is not an unprimeable number, because it can be changed into a prime (788000010071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5309836 + ... + 5456221.

It is an arithmetic number, because the mean of its divisors is an integer number (100431172053).

Almost surely, 2^788000010001 is an apocalyptic number.

It is an amenable number.

788000010001 is a deficient number, since it is larger than the sum of its proper divisors (15449366423).

788000010001 is a wasteful number, since it uses less digits than its factorization.

788000010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767491.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 788000010001 its reverse (100010000887), we get a palindrome (888010010888).

The spelling of 788000010001 in words is "seven hundred eighty-eight billion, ten thousand, one".