797495400 has 288 divisors, whose sum is σ = 2915672760. Its totient is φ = 194181120.

The previous prime is 797495383. The next prime is 797495401. The reversal of 797495400 is 4594797.

It can be written as a sum of positive squares in 12 ways, for example, as 266930244 + 530565156 = 16338^2 + 23034^2 .

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

It is not an unprimeable number, because it can be changed into a prime (797495401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4048102 + ... + 4048298.

Almost surely, 2^797495400 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 797495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457836380).

797495400 is an abundant number, since it is smaller than the sum of its proper divisors (2118177360).

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

797495400 is a wasteful number, since it uses less digits than its factorization.

797495400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 797495400 is about 28239.9610481318. The cubic root of 797495400 is about 927.3479770116.

The spelling of 797495400 in words is "seven hundred ninety-seven million, four hundred ninety-five thousand, four hundred".