791638416 has 60 divisors (see below), whose sum is σ = 2224018368. Its totient is φ = 262863552.

The previous prime is 791638409. The next prime is 791638417. The reversal of 791638416 is 614836197.

It is a happy number.

791638416 is a `hidden beast` number, since 7 + 9 + 1 + 638 + 4 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (791638417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27421 + ... + 48323.

Almost surely, 2^791638416 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 791638416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112009184).

791638416 is an abundant number, since it is smaller than the sum of its proper divisors (1432379952).

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

791638416 is a wasteful number, since it uses less digits than its factorization.

791638416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21180 (or 21171 counting only the distinct ones).

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

The square root of 791638416 is about 28136.0696615572. The cubic root of 791638416 is about 925.0721798070.

The spelling of 791638416 in words is "seven hundred ninety-one million, six hundred thirty-eight thousand, four hundred sixteen".