787804640 has 96 divisors (see below), whose sum is σ = 2157249024. Its totient is φ = 266273280.

The previous prime is 787804637. The next prime is 787804649. The reversal of 787804640 is 46408787.

It is a junction number, because it is equal to n+sod(n) for n = 787804591 and 787804600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787804649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74567 + ... + 84473.

It is an arithmetic number, because the mean of its divisors is an integer number (22471344).

Almost surely, 2^787804640 is an apocalyptic number.

787804640 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 787804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078624512).

787804640 is an abundant number, since it is smaller than the sum of its proper divisors (1369444384).

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

787804640 is a wasteful number, since it uses less digits than its factorization.

787804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 787804640 is about 28067.8577736171. The cubic root of 787804640 is about 923.5764379907.

The spelling of 787804640 in words is "seven hundred eighty-seven million, eight hundred four thousand, six hundred forty".