77889467901001 has 3 divisors (see below), whose sum is σ = 77889476726503. Its totient is φ = 77889459075500.

The previous prime is 77889467900971. The next prime is 77889467901059. The reversal of 77889467901001 is 10010976498877.

The square root of 77889467901001 is 8825501.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 45903491001 + 77843564410000 = 214251^2 + 8822900^2 .

It is not a de Polignac number, because 77889467901001 - 2³¹ = 77887320417353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77889467001001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4412751 + ... + 13238251.

Almost surely, 2^{77889467901001} is an apocalyptic number.

77889467901001 is the 8825501-st square number.

77889467901001 is the 4412751-st centered octagonal number.

It is an amenable number.

77889467901001 is a deficient number, since it is larger than the sum of its proper divisors (8825502).

77889467901001 is an frugal number, since it uses more digits than its factorization.

77889467901001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17651002 (or 8825501 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 67.

The spelling of 77889467901001 in words is "seventy-seven trillion, eight hundred eighty-nine billion, four hundred sixty-seven million, nine hundred one thousand, one".