793994400 has 180 divisors, whose sum is σ = 2895779502. Its totient is φ = 211714560.

The previous prime is 793994389. The next prime is 793994423. The reversal of 793994400 is 4499397.

It can be written as a sum of positive squares in 3 ways, for example, as 583512336 + 210482064 = 24156^2 + 14508^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 58674 + ... + 70926.

Almost surely, 2^793994400 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 793994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447889751).

793994400 is an abundant number, since it is smaller than the sum of its proper divisors (2101785102).

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

793994400 is a wasteful number, since it uses less digits than its factorization.

793994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12285 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 793994400 is about 28177.9062387538. The cubic root of 793994400 is about 925.9889690448.

The spelling of 793994400 in words is "seven hundred ninety-three million, nine hundred ninety-four thousand, four hundred".