78417876001 has 2 divisors, whose sum is σ = 78417876002. Its totient is φ = 78417876000.

The previous prime is 78417875999. The next prime is 78417876023. The reversal of 78417876001 is 10067871487.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67849830400 + 10568045601 = 260480^2 + 102801^2 .

It is a cyclic number.

It is not a de Polignac number, because 78417876001 - 2¹ = 78417875999 is a prime.

It is a super-2 number, since 2×78417876001² (a number of 23 digits) contains 22 as substring.

Together with 78417875999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (78417876101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39208938000 + 39208938001.

It is an arithmetic number, because the mean of its divisors is an integer number (39208938001).

Almost surely, 2^78417876001 is an apocalyptic number.

It is an amenable number.

78417876001 is a deficient number, since it is larger than the sum of its proper divisors (1).

78417876001 is an equidigital number, since it uses as much as digits as its factorization.

78417876001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 526848, while the sum is 49.

The spelling of 78417876001 in words is "seventy-eight billion, four hundred seventeen million, eight hundred seventy-six thousand, one".