797656720 has 80 divisors (see below), whose sum is σ = 2140220160. Its totient is φ = 270807552.

The previous prime is 797656697. The next prime is 797656729. The reversal of 797656720 is 27656797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×797656720³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (797656729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50766 + ... + 64594.

It is an arithmetic number, because the mean of its divisors is an integer number (26752752).

Almost surely, 2^797656720 is an apocalyptic number.

797656720 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 797656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070110080).

797656720 is an abundant number, since it is smaller than the sum of its proper divisors (1342563440).

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

797656720 is a wasteful number, since it uses less digits than its factorization.

797656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13952 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 49.

The square root of 797656720 is about 28242.8171399384. The cubic root of 797656720 is about 927.4105017984.

The spelling of 797656720 in words is "seven hundred ninety-seven million, six hundred fifty-six thousand, seven hundred twenty".