799968 has 48 divisors (see below), whose sum is σ = 2264976. Its totient is φ = 245760.

The previous prime is 799961. The next prime is 799979. The reversal of 799968 is 869997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (47187).

2⁷⁹⁹⁹⁶⁸ is an apocalyptic number.

799968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132488).

799968 is an abundant number, since it is smaller than the sum of its proper divisors (1465008).

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

799968 is a wasteful number, since it uses less digits than its factorization.

799968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 799968 is about 894.4093022772. The cubic root of 799968 is about 92.8305388987.

The spelling of 799968 in words is "seven hundred ninety-nine thousand, nine hundred sixty-eight".