797395200 has 432 divisors, whose sum is σ = 3193545600. Its totient is φ = 171048960.

The previous prime is 797395171. The next prime is 797395241. The reversal of 797395200 is 2593797.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284626 + ... + 2284974.

Almost surely, 2^797395200 is an apocalyptic number.

797395200 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 797395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596772800).

797395200 is an abundant number, since it is smaller than the sum of its proper divisors (2396150400).

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

797395200 is a wasteful number, since it uses less digits than its factorization.

797395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 797395200 is about 28238.1869106357. The cubic root of 797395200 is about 927.3091370136.

The spelling of 797395200 in words is "seven hundred ninety-seven million, three hundred ninety-five thousand, two hundred".