791284969764 has 405 divisors, whose sum is σ = 2329091582727. Its totient is φ = 235180672128.

The previous prime is 791284969721. The next prime is 791284969789. The reversal of 791284969764 is 467969482197.

The square root of 791284969764 is 889542.

It is a perfect power (a square), and thus also a powerful number.

791284969764 is a `hidden beast` number, since 7 + 9 + 128 + 496 + 9 + 7 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245577731364 + 545707238400 = 495558^2 + 738720^2 .

It is a super-2 number, since 2×791284969764² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 791284969692 and 791284969701.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 41646577347 + ... + 41646577365.

Almost surely, 2^791284969764 is an apocalyptic number.

791284969764 is the 889542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791284969764

791284969764 is an abundant number, since it is smaller than the sum of its proper divisors (1537806612963).

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

791284969764 is an frugal number, since it uses more digits than its factorization.

791284969764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 41 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 791284969764 in words is "seven hundred ninety-one billion, two hundred eighty-four million, nine hundred sixty-nine thousand, seven hundred sixty-four".