9769329000 has 288 divisors, whose sum is σ = 34311630600. Its totient is φ = 2603404800.

The previous prime is 9769328981. The next prime is 9769329023. The reversal of 9769329000 is 9239679.

It can be written as a sum of positive squares in 4 ways, for example, as 1627154244 + 8142174756 = 40338^2 + 90234^2 .

It is a super-2 number, since 2×9769329000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6560256 + ... + 6561744.

Almost surely, 2^9769329000 is an apocalyptic number.

9769329000 is a gapful number since it is divisible by the number (90) 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 9769329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155815300).

9769329000 is an abundant number, since it is smaller than the sum of its proper divisors (24542301600).

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

9769329000 is an equidigital number, since it uses as much as digits as its factorization.

9769329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 9769329000 is about 98839.9160258648. The cubic root of 9769329000 is about 2137.7401392253.

The spelling of 9769329000 in words is "nine billion, seven hundred sixty-nine million, three hundred twenty-nine thousand".