791794080 has 576 divisors, whose sum is σ = 3477696768. Its totient is φ = 159252480.

The previous prime is 791794039. The next prime is 791794109. The reversal of 791794080 is 80497197.

791794080 is a `hidden beast` number, since 79 + 179 + 408 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4102464 + ... + 4102656.

It is an arithmetic number, because the mean of its divisors is an integer number (6037668).

Almost surely, 2^791794080 is an apocalyptic number.

791794080 is a gapful number since it is divisible by the number (70) 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 791794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738848384).

791794080 is an abundant number, since it is smaller than the sum of its proper divisors (2685902688).

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

791794080 is a wasteful number, since it uses less digits than its factorization.

791794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 791794080 is about 28138.8357968129. The cubic root of 791794080 is about 925.1328097593.

The spelling of 791794080 in words is "seven hundred ninety-one million, seven hundred ninety-four thousand, eighty".