8212337280 has 960 divisors, whose sum is σ = 35329468680. Its totient is φ = 1811496960.

The previous prime is 8212337251. The next prime is 8212337281. The reversal of 8212337280 is 827332128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5194373184 + 3017964096 = 72072^2 + 54936^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 (8212337281) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134628450 + ... + 134628510.

Almost surely, 2^8212337280 is an apocalyptic number.

8212337280 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 8212337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664734340).

8212337280 is an abundant number, since it is smaller than the sum of its proper divisors (27117131400).

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

8212337280 is a wasteful number, since it uses less digits than its factorization.

8212337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8212337280 is about 90621.9470106442. The cubic root of 8212337280 is about 2017.5404892304.

The spelling of 8212337280 in words is "eight billion, two hundred twelve million, three hundred thirty-seven thousand, two hundred eighty".