791108400 has 240 divisors, whose sum is σ = 2656972800. Its totient is φ = 200954880.

The previous prime is 791108389. The next prime is 791108401. The reversal of 791108400 is 4801197.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (791108401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4419511 + ... + 4419689.

It is an arithmetic number, because the mean of its divisors is an integer number (11070720).

Almost surely, 2^791108400 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 791108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328486400).

791108400 is an abundant number, since it is smaller than the sum of its proper divisors (1865864400).

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

791108400 is a wasteful number, since it uses less digits than its factorization.

791108400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 791108400 is about 28126.6492849753. The cubic root of 791108400 is about 924.8656829563.

Adding to 791108400 its reverse (4801197), we get a palindrome (795909597).

The spelling of 791108400 in words is "seven hundred ninety-one million, one hundred eight thousand, four hundred".