791724672 has 128 divisors (see below), whose sum is σ = 2359627200. Its totient is φ = 261319680.

The previous prime is 791724671. The next prime is 791724701. The reversal of 791724672 is 276427197.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (791724671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368722 + ... + 370862.

Almost surely, 2^791724672 is an apocalyptic number.

791724672 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 791724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179813600).

791724672 is an abundant number, since it is smaller than the sum of its proper divisors (1567902528).

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

791724672 is a wasteful number, since it uses less digits than its factorization.

791724672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2253 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 791724672 is about 28137.6024564994. The cubic root of 791724672 is about 925.1057768493.

The spelling of 791724672 in words is "seven hundred ninety-one million, seven hundred twenty-four thousand, six hundred seventy-two".