797535648 has 144 divisors (see below), whose sum is σ = 2791466496. Its totient is φ = 210332160.

The previous prime is 797535647. The next prime is 797535653. The reversal of 797535648 is 846535797.

797535648 is a `hidden beast` number, since 7 + 9 + 75 + 3 + 564 + 8 = 666.

797535648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 797535594 and 797535603.

It is not an unprimeable number, because it can be changed into a prime (797535647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10993 + ... + 41423.

It is an arithmetic number, because the mean of its divisors is an integer number (19385184).

Almost surely, 2^797535648 is an apocalyptic number.

797535648 is a gapful number since it is divisible by the number (78) 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 797535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395733248).

797535648 is an abundant number, since it is smaller than the sum of its proper divisors (1993930848).

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

797535648 is a wasteful number, since it uses less digits than its factorization.

797535648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30467 (or 30456 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 797535648 is about 28240.6736463562. The cubic root of 797535648 is about 927.3635772159.

The spelling of 797535648 in words is "seven hundred ninety-seven million, five hundred thirty-five thousand, six hundred forty-eight".