795744400 has 180 divisors, whose sum is σ = 2157994692. Its totient is φ = 281600000.

The previous prime is 795744379. The next prime is 795744401. The reversal of 795744400 is 4447597.

795744400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5234944 + 790509456 = 2288^2 + 28116^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (795744401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1984200 + ... + 1984600.

Almost surely, 2^795744400 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 795744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078997346).

795744400 is an abundant number, since it is smaller than the sum of its proper divisors (1362250292).

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

795744400 is a wasteful number, since it uses less digits than its factorization.

795744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 795744400 is about 28208.9418447414. The cubic root of 795744400 is about 926.6687772036.

The spelling of 795744400 in words is "seven hundred ninety-five million, seven hundred forty-four thousand, four hundred".