794640672 has 192 divisors, whose sum is σ = 2682408960. Its totient is φ = 224163072.

The previous prime is 794640661. The next prime is 794640709. The reversal of 794640672 is 276046497.

It is a super-3 number, since 3×794640672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501193 + ... + 502775.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^794640672 is an apocalyptic number.

794640672 is a gapful number since it is divisible by the number (72) 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 794640672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

794640672 is an abundant number, since it is smaller than the sum of its proper divisors (1887768288).

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

794640672 is a wasteful number, since it uses less digits than its factorization.

794640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 794640672 is about 28189.3716141385. The cubic root of 794640672 is about 926.2401372518.

The spelling of 794640672 in words is "seven hundred ninety-four million, six hundred forty thousand, six hundred seventy-two".