788640 has 96 divisors (see below), whose sum is σ = 2612736. Its totient is φ = 199680.

The previous prime is 788621. The next prime is 788651. The reversal of 788640 is 46887.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

788640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14854 + ... + 14906.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁷⁸⁸⁶⁴⁰ 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 788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

788640 is an abundant number, since it is smaller than the sum of its proper divisors (1824096).

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

788640 is a wasteful number, since it uses less digits than its factorization.

788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 788640 is about 888.0540524090. The cubic root of 788640 is about 92.3902765203.

The spelling of 788640 in words is "seven hundred eighty-eight thousand, six hundred forty".