788704 has 36 divisors (see below), whose sum is σ = 1809864. Its totient is φ = 337344.

The previous prime is 788701. The next prime is 788719. The reversal of 788704 is 407887.

788704 = T₂₁ + T₂₂ + ... + T₁₆₇.

It is a self number, because there is not a number n which added to its sum of digits gives 788704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1317 + ... + 1819.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2⁷⁸⁸⁷⁰⁴ 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 788704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932).

788704 is an abundant number, since it is smaller than the sum of its proper divisors (1021160).

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

788704 is a wasteful number, since it uses less digits than its factorization.

788704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 788704 is about 888.0900855206. The cubic root of 788704 is about 92.3927756825.

The spelling of 788704 in words is "seven hundred eighty-eight thousand, seven hundred four".