797763120 has 320 divisors, whose sum is σ = 3149798400. Its totient is φ = 165580800.

The previous prime is 797763103. The next prime is 797763121. The reversal of 797763120 is 21367797.

797763120 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797763121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905080 + ... + 905960.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^797763120 is an apocalyptic number.

797763120 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 797763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

797763120 is an abundant number, since it is smaller than the sum of its proper divisors (2352035280).

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

797763120 is a wasteful number, since it uses less digits than its factorization.

797763120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 797763120 is about 28244.7007419091. The cubic root of 797763120 is about 927.4517359483.

The spelling of 797763120 in words is "seven hundred ninety-seven million, seven hundred sixty-three thousand, one hundred twenty".