797299200 has 300 divisors, whose sum is σ = 2954700210. Its totient is φ = 212336640.

The previous prime is 797299171. The next prime is 797299231. The reversal of 797299200 is 2992797.

It can be written as a sum of positive squares in 3 ways, for example, as 550934784 + 246364416 = 23472^2 + 15696^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036416 + ... + 1037184.

Almost surely, 2^797299200 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 797299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477350105).

797299200 is an abundant number, since it is smaller than the sum of its proper divisors (2157401010).

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

797299200 is an equidigital number, since it uses as much as digits as its factorization.

797299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 797299200 is about 28236.4870336237. The cubic root of 797299200 is about 927.2719219873.

The spelling of 797299200 in words is "seven hundred ninety-seven million, two hundred ninety-nine thousand, two hundred".