792768 has 28 divisors (see below), whose sum is σ = 2098040. Its totient is φ = 264192.

The previous prime is 792751. The next prime is 792769. The reversal of 792768 is 867297.

It is a super-2 number, since 2×792768² = 1256962203648, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (792769) by changing a digit.

792768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1873 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (74930).

2⁷⁹²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

792768 is an abundant number, since it is smaller than the sum of its proper divisors (1305272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

792768 is a wasteful number, since it uses less digits than its factorization.

792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4134 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 792768 is about 890.3752018110. The cubic root of 792768 is about 92.5511963971.

Subtracting 792768 from its reverse (867297), we obtain a square (74529 = 273²).

The spelling of 792768 in words is "seven hundred ninety-two thousand, seven hundred sixty-eight".