788200 has 48 divisors (see below), whose sum is σ = 2098080. Its totient is φ = 269760.

The previous prime is 788189. The next prime is 788209. The reversal of 788200 is 2887.

788200 = T₁₃₉ + T₁₄₀ + ... + T₁₉₄.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (788209) by changing a digit.

788200 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 11 ways as a sum of consecutive naturals, for example, 1119 + ... + 1681.

It is an arithmetic number, because the mean of its divisors is an integer number (43710).

2⁷⁸⁸²⁰⁰ is an apocalyptic number.

788200 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 788200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049040).

788200 is an abundant number, since it is smaller than the sum of its proper divisors (1309880).

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

788200 is a wasteful number, since it uses less digits than its factorization.

788200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 788200 is about 887.8062851771. The cubic root of 788200 is about 92.3730911192.

The spelling of 788200 in words is "seven hundred eighty-eight thousand, two hundred".