797100768 has 288 divisors, whose sum is σ = 2549514240. Its totient is φ = 235146240.

The previous prime is 797100751. The next prime is 797100769. The reversal of 797100768 is 867001797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797100769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6276321 + ... + 6276447.

It is an arithmetic number, because the mean of its divisors is an integer number (8852480).

Almost surely, 2^797100768 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 797100768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274757120).

797100768 is an abundant number, since it is smaller than the sum of its proper divisors (1752413472).

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

797100768 is a wasteful number, since it uses less digits than its factorization.

797100768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 797100768 is about 28232.9730634236. The cubic root of 797100768 is about 927.1949890581.

The spelling of 797100768 in words is "seven hundred ninety-seven million, one hundred thousand, seven hundred sixty-eight".