793968 has 80 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 211968.

The previous prime is 793967. The next prime is 793979. The reversal of 793968 is 869397.

793968 = T₃₀₇ + T₃₀₈ + ... + T₃₂₂.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (81648) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793967) 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, 5643 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁷⁹³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

793968 is an abundant number, since it is smaller than the sum of its proper divisors (1705872).

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

793968 is a wasteful number, since it uses less digits than its factorization.

793968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 793968 is about 891.0488202113. The cubic root of 793968 is about 92.5978706009.

The spelling of 793968 in words is "seven hundred ninety-three thousand, nine hundred sixty-eight".