788726016 has 216 divisors, whose sum is σ = 2594755800. Its totient is φ = 228261888.

The previous prime is 788726011. The next prime is 788726027. The reversal of 788726016 is 610627887.

It can be written as a sum of positive squares in 4 ways, for example, as 53231616 + 735494400 = 7296^2 + 27120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788726011) 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, 508410 + ... + 509958.

Almost surely, 2^788726016 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 788726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297377900).

788726016 is an abundant number, since it is smaller than the sum of its proper divisors (1806029784).

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

788726016 is a wasteful number, since it uses less digits than its factorization.

788726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 788726016 is about 28084.2663425627. The cubic root of 788726016 is about 923.9363536303.

The spelling of 788726016 in words is "seven hundred eighty-eight million, seven hundred twenty-six thousand, sixteen".