772256418894399 has 16 divisors (see below), whose sum is σ = 1030569576422400. Its totient is φ = 514390627566816.

The previous prime is 772256418894371. The next prime is 772256418894461. The reversal of 772256418894399 is 993498814652277.

It is not a de Polignac number, because 772256418894399 - 2¹⁷ = 772256418763327 is a prime.

It is a Sastry number since concatenated with its successor gives a square.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772256418894329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7611159 + ... + 40030520.

It is an arithmetic number, because the mean of its divisors is an integer number (64410598526400).

Almost surely, 2^{772256418894399} is an apocalyptic number.

772256418894399 is a deficient number, since it is larger than the sum of its proper divisors (258313157528001).

772256418894399 is a wasteful number, since it uses less digits than its factorization.

772256418894399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47646374.

The product of its digits is 13168189440, while the sum is 84.

The spelling of 772256418894399 in words is "seven hundred seventy-two trillion, two hundred fifty-six billion, four hundred eighteen million, eight hundred ninety-four thousand, three hundred ninety-nine".