787104 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 262080.

The previous prime is 787099. The next prime is 787123. The reversal of 787104 is 401787.

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 (27).

It is a congruent number.

It is an unprimeable number.

787104 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 7 ways as a sum of consecutive naturals, for example, 409 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁷⁸⁷¹⁰⁴ 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 787104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

787104 is an abundant number, since it is smaller than the sum of its proper divisors (1511136).

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

787104 is a wasteful number, since it uses less digits than its factorization.

787104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 787104 is about 887.1888186852. The cubic root of 787104 is about 92.3302560225.

The spelling of 787104 in words is "seven hundred eighty-seven thousand, one hundred four".