787821216 has 216 divisors, whose sum is σ = 2607583104. Its totient is φ = 207567360.

The previous prime is 787821211. The next prime is 787821233. The reversal of 787821216 is 612128787.

787821216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (787821211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794481 + ... + 795471.

It is an arithmetic number, because the mean of its divisors is an integer number (12072144).

Almost surely, 2^787821216 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 787821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303791552).

787821216 is an abundant number, since it is smaller than the sum of its proper divisors (1819761888).

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

787821216 is a wasteful number, since it uses less digits than its factorization.

787821216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1016 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 787821216 is about 28068.1530564446. The cubic root of 787821216 is about 923.5829155254.

The spelling of 787821216 in words is "seven hundred eighty-seven million, eight hundred twenty-one thousand, two hundred sixteen".