7691290000 has 75 divisors (see below), whose sum is σ = 18642639477. Its totient is φ = 3073008000.

The previous prime is 7691289989. The next prime is 7691290007. The reversal of 7691290000 is 921967.

The square root of 7691290000 is 87700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3130178704 + 4561111296 = 55948^2 + 67536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7691290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8769562 + ... + 8770438.

Almost surely, 2^7691290000 is an apocalyptic number.

7691290000 is the 87700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7691290000

7691290000 is an abundant number, since it is smaller than the sum of its proper divisors (10951349477).

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

7691290000 is an frugal number, since it uses more digits than its factorization.

7691290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The cubic root of 7691290000 is about 1973.9359754934.

The spelling of 7691290000 in words is "seven billion, six hundred ninety-one million, two hundred ninety thousand".