772784401 has 3 divisors (see below), whose sum is σ = 772812201. Its totient is φ = 772756602.

The previous prime is 772784381. The next prime is 772784407. The reversal of 772784401 is 104487277.

The square root of 772784401 is 27799.

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, and also an emirpimes, since its reverse is a distinct semiprime: 104487277 = 6803 ⋅15359.

It is not a de Polignac number, because 772784401 - 2⁹ = 772783889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772784407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13900 + ... + 41698.

It is an arithmetic number, because the mean of its divisors is an integer number (257604067).

Almost surely, 2^772784401 is an apocalyptic number.

772784401 is the 27799-th square number.

772784401 is the 13900-th centered octagonal number.

It is an amenable number.

772784401 is a deficient number, since it is larger than the sum of its proper divisors (27800).

772784401 is an frugal number, since it uses more digits than its factorization.

772784401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55598 (or 27799 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 40.

The cubic root of 772784401 is about 917.6691156757.

The spelling of 772784401 in words is "seven hundred seventy-two million, seven hundred eighty-four thousand, four hundred one".