797418720 has 288 divisors, whose sum is σ = 3132380160. Its totient is φ = 180956160.

The previous prime is 797418719. The next prime is 797418737. The reversal of 797418720 is 27814797.

It is a happy number.

797418720 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 (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2408955 + ... + 2409285.

It is an arithmetic number, because the mean of its divisors is an integer number (10876320).

Almost surely, 2^797418720 is an apocalyptic number.

797418720 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 797418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566190080).

797418720 is an abundant number, since it is smaller than the sum of its proper divisors (2334961440).

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

797418720 is a wasteful number, since it uses less digits than its factorization.

797418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 797418720 is about 28238.6033648975. The cubic root of 797418720 is about 927.3182542395.

The spelling of 797418720 in words is "seven hundred ninety-seven million, four hundred eighteen thousand, seven hundred twenty".