788760 has 96 divisors (see below), whose sum is σ = 2939040. Its totient is φ = 179712.

The previous prime is 788719. The next prime is 788761. The reversal of 788760 is 67887.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788761) by changing a digit.

788760 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 23 ways as a sum of consecutive naturals, for example, 2364 + ... + 2676.

It is an arithmetic number, because the mean of its divisors is an integer number (30615).

2⁷⁸⁸⁷⁶⁰ is an apocalyptic number.

788760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469520).

788760 is an abundant number, since it is smaller than the sum of its proper divisors (2150280).

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

788760 is a wasteful number, since it uses less digits than its factorization.

788760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

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

The square root of 788760 is about 888.1216132940. The cubic root of 788760 is about 92.3949623385.

The spelling of 788760 in words is "seven hundred eighty-eight thousand, seven hundred sixty".