791282787372 has 288 divisors, whose sum is σ = 2643302398464. Its totient is φ = 193227724800.

The previous prime is 791282787371. The next prime is 791282787401. The reversal of 791282787372 is 273787282197.

791282787372 is a `hidden beast` number, since 79 + 128 + 2 + 78 + 7 + 372 = 666.

It is a super-3 number, since 3×791282787372³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (791282787371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45748758 + ... + 45766050.

It is an arithmetic number, because the mean of its divisors is an integer number (9178133328).

Almost surely, 2^791282787372 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 791282787372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321651199232).

791282787372 is an abundant number, since it is smaller than the sum of its proper divisors (1852019611092).

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

791282787372 is a wasteful number, since it uses less digits than its factorization.

791282787372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18309 (or 18304 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 63.

The spelling of 791282787372 in words is "seven hundred ninety-one billion, two hundred eighty-two million, seven hundred eighty-seven thousand, three hundred seventy-two".