791418096 has 360 divisors, whose sum is σ = 2817260160. Its totient is φ = 202487040.

The previous prime is 791418073. The next prime is 791418107. The reversal of 791418096 is 690814197.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18405051 + ... + 18405093.

Almost surely, 2^791418096 is an apocalyptic number.

791418096 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 791418096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408630080).

791418096 is an abundant number, since it is smaller than the sum of its proper divisors (2025842064).

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

791418096 is a wasteful number, since it uses less digits than its factorization.

791418096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 791418096 is about 28132.1541301053. The cubic root of 791418096 is about 924.9863532440.

The spelling of 791418096 in words is "seven hundred ninety-one million, four hundred eighteen thousand, ninety-six".