797876352 has 512 divisors, whose sum is σ = 3015936000. Its totient is φ = 202051584.

The previous prime is 797876347. The next prime is 797876353. The reversal of 797876352 is 253678797.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (797876353) 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, 13523299 + ... + 13523357.

It is an arithmetic number, because the mean of its divisors is an integer number (5890500).

Almost surely, 2^797876352 is an apocalyptic number.

797876352 is a gapful number since it is divisible by the number (72) 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 797876352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507968000).

797876352 is an abundant number, since it is smaller than the sum of its proper divisors (2218059648).

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

797876352 is a wasteful number, since it uses less digits than its factorization.

797876352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 797876352 is about 28246.7051529909. The cubic root of 797876352 is about 927.4956137378.

The spelling of 797876352 in words is "seven hundred ninety-seven million, eight hundred seventy-six thousand, three hundred fifty-two".