8262810000 has 375 divisors, whose sum is σ = 30182957893. Its totient is φ = 2181600000.

The previous prime is 8262809983. The next prime is 8262810001. The reversal of 8262810000 is 182628.

The square root of 8262810000 is 90900.

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 1783203984 + 6479606016 = 42228^2 + 80496^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×8262810000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8262810001) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 81809950 + ... + 81810050.

Almost surely, 2^8262810000 is an apocalyptic number.

8262810000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8262810000 is the 90900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8262810000

8262810000 is an abundant number, since it is smaller than the sum of its proper divisors (21920147893).

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

8262810000 is an equidigital number, since it uses as much as digits as its factorization.

8262810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 8262810000 is about 2021.6652934170.

Adding to 8262810000 its reverse (182628), we get a palindrome (8262992628).

The spelling of 8262810000 in words is "eight billion, two hundred sixty-two million, eight hundred ten thousand".