8280610000 has 100 divisors (see below), whose sum is σ = 21590691892. Its totient is φ = 3057408000.

The previous prime is 8280609979. The next prime is 8280610099. The reversal of 8280610000 is 160828.

It can be written as a sum of positive squares in 10 ways, for example, as 8278088256 + 2521744 = 90984^2 + 1588^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98152 + ... + 161848.

Almost surely, 2^8280610000 is an apocalyptic number.

8280610000 is a gapful number since it is divisible by the number (80) 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 8280610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795345946).

8280610000 is an abundant number, since it is smaller than the sum of its proper divisors (13310081892).

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

8280610000 is a wasteful number, since it uses less digits than its factorization.

8280610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63738 (or 63717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 8280610000 is about 90997.8571176267. The cubic root of 8280610000 is about 2023.1159634532.

Adding to 8280610000 its reverse (160828), we get a palindrome (8280770828).

The spelling of 8280610000 in words is "eight billion, two hundred eighty million, six hundred ten thousand".