8265398400 has 432 divisors, whose sum is σ = 34313850090. Its totient is φ = 1888911360.

The previous prime is 8265398377. The next prime is 8265398417. The reversal of 8265398400 is 48935628.

It can be written as a sum of positive squares in 3 ways, for example, as 7720082496 + 545315904 = 87864^2 + 23352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 1408272 + ... + 1414128.

Almost surely, 2^8265398400 is an apocalyptic number.

8265398400 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 8265398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156925045).

8265398400 is an abundant number, since it is smaller than the sum of its proper divisors (26048451690).

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

8265398400 is a wasteful number, since it uses less digits than its factorization.

8265398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8265398400 is about 90914.2365089209. The cubic root of 8265398400 is about 2021.8763730266.

The spelling of 8265398400 in words is "eight billion, two hundred sixty-five million, three hundred ninety-eight thousand, four hundred".