792405963 has 16 divisors (see below), whose sum is σ = 1235721600. Its totient is φ = 500466600.

The previous prime is 792405923. The next prime is 792405997. The reversal of 792405963 is 369504297.

It is a happy number.

It is not a de Polignac number, because 792405963 - 2¹⁰ = 792404939 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (792405923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771813 + ... + 772838.

It is an arithmetic number, because the mean of its divisors is an integer number (77232600).

Almost surely, 2^792405963 is an apocalyptic number.

792405963 is a deficient number, since it is larger than the sum of its proper divisors (443315637).

792405963 is a wasteful number, since it uses less digits than its factorization.

792405963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544679 (or 1544673 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 792405963 is about 28149.7062684498. The cubic root of 792405963 is about 925.3710565877.

It can be divided in two parts, 79 and 2405963, that added together give a palindrome (2406042).

The spelling of 792405963 in words is "seven hundred ninety-two million, four hundred five thousand, nine hundred sixty-three".