788670 has 64 divisors (see below), whose sum is σ = 2211840. Its totient is φ = 199584.

The previous prime is 788659. The next prime is 788677. The reversal of 788670 is 76887.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788677) by changing a digit.

788670 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 31 ways as a sum of consecutive naturals, for example, 6147 + ... + 6273.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2⁷⁸⁸⁶⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105920).

788670 is an abundant number, since it is smaller than the sum of its proper divisors (1423170).

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

788670 is a wasteful number, since it uses less digits than its factorization.

With its successor (788671) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (166).

788670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 788670 is about 888.0709431121. The cubic root of 788670 is about 92.3914480194.

The spelling of 788670 in words is "seven hundred eighty-eight thousand, six hundred seventy".