7821792 has 96 divisors (see below), whose sum is σ = 24917760. Its totient is φ = 2367360.

The previous prime is 7821791. The next prime is 7821797. The reversal of 7821792 is 2971287.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7821792² = 122360860182528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7821791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9093 + ... + 9915.

It is an arithmetic number, because the mean of its divisors is an integer number (259560).

Almost surely, 2^7821792 is an apocalyptic number.

7821792 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 7821792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458880).

7821792 is an abundant number, since it is smaller than the sum of its proper divisors (17095968).

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

7821792 is a wasteful number, since it uses less digits than its factorization.

7821792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 7821792 is about 2796.7466814140. The cubic root of 7821792 is about 198.5037676913.

The spelling of 7821792 in words is "seven million, eight hundred twenty-one thousand, seven hundred ninety-two".