791346816 has 192 divisors, whose sum is σ = 2501127720. Its totient is φ = 238657536.

The previous prime is 791346769. The next prime is 791346823. The reversal of 791346816 is 618643197.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 734193216 + 57153600 = 27096^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793230 + ... + 794226.

Almost surely, 2^791346816 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 791346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250563860).

791346816 is an abundant number, since it is smaller than the sum of its proper divisors (1709780904).

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

791346816 is a wasteful number, since it uses less digits than its factorization.

791346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1068 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 791346816 is about 28130.8872238328. The cubic root of 791346816 is about 924.9585824163.

The spelling of 791346816 in words is "seven hundred ninety-one million, three hundred forty-six thousand, eight hundred sixteen".