791635680 has 336 divisors, whose sum is σ = 3063950064. Its totient is φ = 191600640.

The previous prime is 791635679. The next prime is 791635681. The reversal of 791635680 is 86536197.

It is a happy number.

791635680 is a `hidden beast` number, since 7 + 9 + 1 + 635 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (791635679) and next prime (791635681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791635681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1282732 + ... + 1283348.

It is an arithmetic number, because the mean of its divisors is an integer number (9118899).

Almost surely, 2^791635680 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 791635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531975032).

791635680 is an abundant number, since it is smaller than the sum of its proper divisors (2272314384).

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

791635680 is a wasteful number, since it uses less digits than its factorization.

791635680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 791635680 is about 28136.0210406518. The cubic root of 791635680 is about 925.0711140846.

The spelling of 791635680 in words is "seven hundred ninety-one million, six hundred thirty-five thousand, six hundred eighty".