789256336801 has 9 divisors (see below), whose sum is σ = 790938100281. Its totient is φ = 787578147312.

The previous prime is 789256336789. The next prime is 789256336849. The reversal of 789256336801 is 108633652987.

The square root of 789256336801 is 888401.

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

It can be written as a sum of positive squares in 4 ways, for example, as 99825034401 + 689431302400 = 315951^2 + 830320^2 .

It is not a de Polignac number, because 789256336801 - 2²³ = 789247948193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (789256336201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 779127171 + ... + 779128183.

Almost surely, 2^789256336801 is an apocalyptic number.

789256336801 is the 888401-st square number.

789256336801 is the 444201-st centered octagonal number.

It is an amenable number.

789256336801 is a deficient number, since it is larger than the sum of its proper divisors (1681763480).

789256336801 is an frugal number, since it uses more digits than its factorization.

789256336801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 789256336801 in words is "seven hundred eighty-nine billion, two hundred fifty-six million, three hundred thirty-six thousand, eight hundred one".