788499400 has 96 divisors (see below), whose sum is σ = 1986825960. Its totient is φ = 289290240.

The previous prime is 788499367. The next prime is 788499407. The reversal of 788499400 is 4994887.

It can be written as a sum of positive squares in 12 ways, for example, as 125316 + 788374084 = 354^2 + 28078^2 .

It is not an unprimeable number, because it can be changed into a prime (788499407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448924 + ... + 450676.

Almost surely, 2^788499400 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 788499400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993412980).

788499400 is an abundant number, since it is smaller than the sum of its proper divisors (1198326560).

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

788499400 is a wasteful number, since it uses less digits than its factorization.

788499400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 788499400 is about 28080.2314805274. The cubic root of 788499400 is about 923.8478569862.

The spelling of 788499400 in words is "seven hundred eighty-eight million, four hundred ninety-nine thousand, four hundred".