791336145600 has 3024 divisors, whose sum is σ = 3927477625344. Its totient is φ = 146644992000.

The previous prime is 791336145581. The next prime is 791336145601. The reversal of 791336145600 is 6541633197.

It is a happy number.

791336145600 is a `hidden beast` number, since 7 + 9 + 1 + 3 + 36 + 1 + 4 + 5 + 600 = 666.

791336145600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (791336145601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7682875149 + ... + 7682875251.

It is an arithmetic number, because the mean of its divisors is an integer number (1298769056).

Almost surely, 2^791336145600 is an apocalyptic number.

791336145600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791336145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963738812672).

791336145600 is an abundant number, since it is smaller than the sum of its proper divisors (3136141479744).

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

791336145600 is a wasteful number, since it uses less digits than its factorization.

791336145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

Adding to 791336145600 its reverse (6541633197), we get a palindrome (797877778797).

The spelling of 791336145600 in words is "seven hundred ninety-one billion, three hundred thirty-six million, one hundred forty-five thousand, six hundred".