8283340800 has 720 divisors, whose sum is σ = 35105253120. Its totient is φ = 1875640320.

The previous prime is 8283340777. The next prime is 8283340801. The reversal of 8283340800 is 80433828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×8283340800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8283340801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77414347 + ... + 77414453.

It is an arithmetic number, because the mean of its divisors is an integer number (48757296).

Almost surely, 2^8283340800 is an apocalyptic number.

8283340800 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 8283340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552626560).

8283340800 is an abundant number, since it is smaller than the sum of its proper divisors (26821912320).

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

8283340800 is a wasteful number, since it uses less digits than its factorization.

8283340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8283340800 is about 91012.8606296934. The cubic root of 8283340800 is about 2023.3383350685.

The spelling of 8283340800 in words is "eight billion, two hundred eighty-three million, three hundred forty thousand, eight hundred".