794358900 has 180 divisors, whose sum is σ = 2591565900. Its totient is φ = 210470400.

The previous prime is 794358893. The next prime is 794358907. The reversal of 794358900 is 9853497.

It is an interprime number because it is at equal distance from previous prime (794358893) and next prime (794358907).

It can be written as a sum of positive squares in 6 ways, for example, as 3849444 + 790509456 = 1962^2 + 28116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (794358907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2275926 + ... + 2276274.

Almost surely, 2^794358900 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 794358900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295782950).

794358900 is an abundant number, since it is smaller than the sum of its proper divisors (1797207000).

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

794358900 is a wasteful number, since it uses less digits than its factorization.

794358900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 794358900 is about 28184.3733299146. The cubic root of 794358900 is about 926.1306456710.

The spelling of 794358900 in words is "seven hundred ninety-four million, three hundred fifty-eight thousand, nine hundred".