791638848 has 336 divisors, whose sum is σ = 3048829056. Its totient is φ = 189665280.

The previous prime is 791638843. The next prime is 791638867. The reversal of 791638848 is 848836197.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 791638794 and 791638803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791638843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575890 + ... + 577262.

It is an arithmetic number, because the mean of its divisors is an integer number (9073896).

Almost surely, 2^791638848 is an apocalyptic number.

791638848 is a gapful number since it is divisible by the number (78) 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 791638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524414528).

791638848 is an abundant number, since it is smaller than the sum of its proper divisors (2257190208).

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

791638848 is a wasteful number, since it uses less digits than its factorization.

791638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 791638848 is about 28136.0773385346. The cubic root of 791638848 is about 925.0723480787.

It can be divided in two parts, 7916 and 38848, that added together give a palindrome (46764).

The spelling of 791638848 in words is "seven hundred ninety-one million, six hundred thirty-eight thousand, eight hundred forty-eight".