788152680 has 640 divisors, whose sum is σ = 3345408000. Its totient is φ = 162362880.

The previous prime is 788152679. The next prime is 788152681. The reversal of 788152680 is 86251887.

788152680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (788152679) and next prime (788152681).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (788152681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13358491 + ... + 13358549.

It is an arithmetic number, because the mean of its divisors is an integer number (5227200).

Almost surely, 2^788152680 is an apocalyptic number.

788152680 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 788152680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672704000).

788152680 is an abundant number, since it is smaller than the sum of its proper divisors (2557255320).

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

788152680 is a wasteful number, since it uses less digits than its factorization.

788152680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 788152680 is about 28074.0570634171. The cubic root of 788152680 is about 923.7124252659.

The spelling of 788152680 in words is "seven hundred eighty-eight million, one hundred fifty-two thousand, six hundred eighty".