797697120 has 192 divisors, whose sum is σ = 2902749696. Its totient is φ = 181985280.

The previous prime is 797697101. The next prime is 797697127. The reversal of 797697120 is 21796797.

797697120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 797697120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797697127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85317 + ... + 94203.

It is an arithmetic number, because the mean of its divisors is an integer number (15118488).

Almost surely, 2^797697120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451374848).

797697120 is an abundant number, since it is smaller than the sum of its proper divisors (2105052576).

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

797697120 is a wasteful number, since it uses less digits than its factorization.

797697120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The square root of 797697120 is about 28243.5323569840. The cubic root of 797697120 is about 927.4261588059.

The spelling of 797697120 in words is "seven hundred ninety-seven million, six hundred ninety-seven thousand, one hundred twenty".