7829220 has 72 divisors (see below), whose sum is σ = 25510464. Its totient is φ = 1788864.

The previous prime is 7829219. The next prime is 7829221. The reversal of 7829220 is 229287.

It is an interprime number because it is at equal distance from previous prime (7829219) and next prime (7829221).

It is a super-2 number, since 2×7829220² = 122593371616800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7829221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609 + ... + 4271.

It is an arithmetic number, because the mean of its divisors is an integer number (354312).

Almost surely, 2^7829220 is an apocalyptic number.

7829220 is a gapful number since it is divisible by the number (70) 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 7829220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232).

7829220 is an abundant number, since it is smaller than the sum of its proper divisors (17681244).

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

7829220 is a wasteful number, since it uses less digits than its factorization.

7829220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7829220 is about 2798.0743378259. The cubic root of 7829220 is about 198.5665844764.

The spelling of 7829220 in words is "seven million, eight hundred twenty-nine thousand, two hundred twenty".