772400205 has 30 divisors (see below), whose sum is σ = 1385602218. Its totient is φ = 411648480.

The previous prime is 772400203. The next prime is 772400207. The reversal of 772400205 is 502004277.

It is an interprime number because it is at equal distance from previous prime (772400203) and next prime (772400207).

It can be written as a sum of positive squares in 3 ways, for example, as 57426084 + 714974121 = 7578^2 + 26739^2 .

It is not a de Polignac number, because 772400205 - 2¹ = 772400203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772400203) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 558615 + ... + 559995.

Almost surely, 2^772400205 is an apocalyptic number.

It is an amenable number.

772400205 is a deficient number, since it is larger than the sum of its proper divisors (613202013).

772400205 is an frugal number, since it uses more digits than its factorization.

772400205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 772400205 is about 27792.0888923449. The cubic root of 772400205 is about 917.5170149319.

Multiplying 772400205 by its product of nonzero digits (3920), we get a square (3027808803600 = 1740060²).

The spelling of 772400205 in words is "seven hundred seventy-two million, four hundred thousand, two hundred five".