788166816 has 192 divisors, whose sum is σ = 2299207680. Its totient is φ = 235422720.

The previous prime is 788166803. The next prime is 788166833. The reversal of 788166816 is 618661887.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2996701 + ... + 2996963.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2^788166816 is an apocalyptic number.

788166816 is a gapful number since it is divisible by the number (76) 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 788166816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149603840).

788166816 is an abundant number, since it is smaller than the sum of its proper divisors (1511040864).

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

788166816 is a wasteful number, since it uses less digits than its factorization.

788166816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 788166816 is about 28074.3088249738. The cubic root of 788166816 is about 923.7179476819.

The spelling of 788166816 in words is "seven hundred eighty-eight million, one hundred sixty-six thousand, eight hundred sixteen".