788201640 has 96 divisors (see below), whose sum is σ = 2566586880. Its totient is φ = 209782656.

The previous prime is 788201621. The next prime is 788201647. The reversal of 788201640 is 46102887.

788201640 is a `hidden beast` number, since 7 + 8 + 8 + 2 + 0 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 788201595 and 788201604.

It is not an unprimeable number, because it can be changed into a prime (788201647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216717 + ... + 220323.

It is an arithmetic number, because the mean of its divisors is an integer number (26735280).

Almost surely, 2^788201640 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 788201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283293440).

788201640 is an abundant number, since it is smaller than the sum of its proper divisors (1778385240).

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

788201640 is a wasteful number, since it uses less digits than its factorization.

788201640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 788201640 is about 28074.9290292959. The cubic root of 788201640 is about 923.7315518578.

The spelling of 788201640 in words is "seven hundred eighty-eight million, two hundred one thousand, six hundred forty".