788040000 has 420 divisors, whose sum is σ = 3094634400. Its totient is φ = 190080000.

The previous prime is 788039983. The next prime is 788040017. The reversal of 788040000 is 40887.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (788039983) and next prime (788040017).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3959901 + ... + 3960099.

Almost surely, 2^788040000 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 788040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547317200).

788040000 is an abundant number, since it is smaller than the sum of its proper divisors (2306594400).

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

788040000 is a wasteful number, since it uses less digits than its factorization.

788040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 788040000 is about 28072.0501566950. The cubic root of 788040000 is about 923.6684029678.

Adding to 788040000 its reverse (40887), we get a palindrome (788080887).

The spelling of 788040000 in words is "seven hundred eighty-eight million, forty thousand".