7829221000 has 32 divisors (see below), whose sum is σ = 18320379480. Its totient is φ = 3131688000.

The previous prime is 7829220989. The next prime is 7829221013. The reversal of 7829221000 is 1229287.

It can be written as a sum of positive squares in 4 ways, for example, as 2690911876 + 5138309124 = 51874^2 + 71682^2 .

It is a super-2 number, since 2×7829221000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3913611 + ... + 3915610.

Almost surely, 2^7829221000 is an apocalyptic number.

It is an amenable number.

7829221000 is an abundant number, since it is smaller than the sum of its proper divisors (10491158480).

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

7829221000 is a wasteful number, since it uses less digits than its factorization.

7829221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829242 (or 7829228 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 7829221000 is about 88482.8853507841. The cubic root of 7829221000 is about 1985.6659293052.

The spelling of 7829221000 in words is "seven billion, eight hundred twenty-nine million, two hundred twenty-one thousand".