797664 has 48 divisors (see below), whose sum is σ = 2395008. Its totient is φ = 227712.

The previous prime is 797647. The next prime is 797681. The reversal of 797664 is 466797.

It is an interprime number because it is at equal distance from previous prime (797647) and next prime (797681).

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

It is a congruent number.

It is an unprimeable number.

797664 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 7 ways as a sum of consecutive naturals, for example, 79 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2⁷⁹⁷⁶⁶⁴ 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 797664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197504).

797664 is an abundant number, since it is smaller than the sum of its proper divisors (1597344).

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

797664 is a wasteful number, since it uses less digits than its factorization.

797664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 797664 is about 893.1203726262. The cubic root of 797664 is about 92.7413323199.

Adding to 797664 its product of digits (63504), we get a palindrome (861168).

The spelling of 797664 in words is "seven hundred ninety-seven thousand, six hundred sixty-four".