7867690000 has 75 divisors (see below), whose sum is σ = 19069963627. Its totient is φ = 3143528000.

The previous prime is 7867689967. The next prime is 7867690009. The reversal of 7867690000 is 967687.

The square root of 7867690000 is 88700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 616826896 + 7250863104 = 24836^2 + 85152^2 .

It is a super-2 number, since 2×7867690000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7867690009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8869557 + ... + 8870443.

Almost surely, 2^7867690000 is an apocalyptic number.

7867690000 is the 88700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7867690000

7867690000 is an abundant number, since it is smaller than the sum of its proper divisors (11202273627).

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

7867690000 is an frugal number, since it uses more digits than its factorization.

7867690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The cubic root of 7867690000 is about 1988.9128174329.

The spelling of 7867690000 in words is "seven billion, eight hundred sixty-seven million, six hundred ninety thousand".