7829952 has 56 divisors (see below), whose sum is σ = 22317456. Its totient is φ = 2408448.

The previous prime is 7829933. The next prime is 7829963. The reversal of 7829952 is 2599287.

It is a super-2 number, since 2×7829952² = 122616296644608, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 928 + ... + 4064.

It is an arithmetic number, because the mean of its divisors is an integer number (398526).

Almost surely, 2^7829952 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 7829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158728).

7829952 is an abundant number, since it is smaller than the sum of its proper divisors (14487504).

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

7829952 is a wasteful number, since it uses less digits than its factorization.

7829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3155 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 7829952 is about 2798.2051390132. The cubic root of 7829952 is about 198.5727726710.

The spelling of 7829952 in words is "seven million, eight hundred twenty-nine thousand, nine hundred fifty-two".