787927680 has 384 divisors, whose sum is σ = 2899962000. Its totient is φ = 196804608.

The previous prime is 787927661. The next prime is 787927681. The reversal of 787927680 is 86729787.

787927680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 307791936 + 480135744 = 17544^2 + 21912^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (787927681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8853076 + ... + 8853164.

Almost surely, 2^787927680 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 787927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449981000).

787927680 is an abundant number, since it is smaller than the sum of its proper divisors (2112034320).

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

787927680 is a wasteful number, since it uses less digits than its factorization.

787927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 787927680 is about 28070.0495190158. The cubic root of 787927680 is about 923.6245171395.

The spelling of 787927680 in words is "seven hundred eighty-seven million, nine hundred twenty-seven thousand, six hundred eighty".