8248406800 has 90 divisors (see below), whose sum is σ = 21051356558. Its totient is φ = 3105239040.

The previous prime is 8248406797. The next prime is 8248406807. The reversal of 8248406800 is 86048428.

It can be written as a sum of positive squares in 9 ways, for example, as 125350416 + 8123056384 = 11196^2 + 90128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8248406807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79924 + ... + 151276.

Almost surely, 2^8248406800 is an apocalyptic number.

8248406800 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 8248406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525678279).

8248406800 is an abundant number, since it is smaller than the sum of its proper divisors (12802949758).

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

8248406800 is a wasteful number, since it uses less digits than its factorization.

8248406800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71405 (or 71377 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 8248406800 is about 90820.7399221125. The cubic root of 8248406800 is about 2020.4899311575.

The spelling of 8248406800 in words is "eight billion, two hundred forty-eight million, four hundred six thousand, eight hundred".