791646240 has 192 divisors, whose sum is σ = 3109155840. Its totient is φ = 164490240.

The previous prime is 791646221. The next prime is 791646301. The reversal of 791646240 is 42646197.

It is a happy number.

It is a super-2 number, since 2×791646240² = 1253407538612275200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26251 + ... + 47669.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2^791646240 is an apocalyptic number.

791646240 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 791646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554577920).

791646240 is an abundant number, since it is smaller than the sum of its proper divisors (2317509600).

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

791646240 is a wasteful number, since it uses less digits than its factorization.

791646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21455 (or 21447 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 791646240 is about 28136.2086998231. The cubic root of 791646240 is about 925.0752273856.

The spelling of 791646240 in words is "seven hundred ninety-one million, six hundred forty-six thousand, two hundred forty".