797144544 has 288 divisors, whose sum is σ = 2849817600. Its totient is φ = 215550720.

The previous prime is 797144531. The next prime is 797144561. The reversal of 797144544 is 445441797.

797144544 is a `hidden beast` number, since 7 + 97 + 14 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 797144544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803889 + ... + 804879.

It is an arithmetic number, because the mean of its divisors is an integer number (9895200).

Almost surely, 2^797144544 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 797144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800).

797144544 is an abundant number, since it is smaller than the sum of its proper divisors (2052673056).

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

797144544 is a wasteful number, since it uses less digits than its factorization.

797144544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1022 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 797144544 is about 28233.7483165094. The cubic root of 797144544 is about 927.2119622968.

The spelling of 797144544 in words is "seven hundred ninety-seven million, one hundred forty-four thousand, five hundred forty-four".