797559840 has 288 divisors, whose sum is σ = 3393726336. Its totient is φ = 165703680.

The previous prime is 797559823. The next prime is 797559853. The reversal of 797559840 is 48955797.

797559840 is a `hidden beast` number, since 7 + 9 + 7 + 5 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×797559840² = 1272203396761651200, 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 47 ways as a sum of consecutive naturals, for example, 107284 + ... + 114476.

It is an arithmetic number, because the mean of its divisors is an integer number (11783772).

Almost surely, 2^797559840 is an apocalyptic number.

797559840 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 797559840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696863168).

797559840 is an abundant number, since it is smaller than the sum of its proper divisors (2596166496).

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

797559840 is a wasteful number, since it uses less digits than its factorization.

797559840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 797559840 is about 28241.1019615028. The cubic root of 797559840 is about 927.3729538303.

The spelling of 797559840 in words is "seven hundred ninety-seven million, five hundred fifty-nine thousand, eight hundred forty".