788130 has 80 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 178848.

The previous prime is 788129. The next prime is 788153. The reversal of 788130 is 31887.

It is a super-2 number, since 2×788130² = 1242297793800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 788094 and 788103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5601 + ... + 5739.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2⁷⁸⁸¹³⁰ is an apocalyptic number.

788130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 788130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680).

788130 is an abundant number, since it is smaller than the sum of its proper divisors (1651230).

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

788130 is a wasteful number, since it uses less digits than its factorization.

788130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 788130 is about 887.7668612874. The cubic root of 788130 is about 92.3703564885.

The spelling of 788130 in words is "seven hundred eighty-eight thousand, one hundred thirty".