82227460320 has 288 divisors, whose sum is σ = 292234086144. Its totient is φ = 21030912000.

The previous prime is 82227460307. The next prime is 82227460331. The reversal of 82227460320 is 2306472228.

It is a happy number.

82227460320 is a `hidden beast` number, since 8 + 2 + 2 + 27 + 4 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×82227460320² (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5036170 + ... + 5052470.

It is an arithmetic number, because the mean of its divisors is an integer number (1014701688).

Almost surely, 2^82227460320 is an apocalyptic number.

82227460320 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 82227460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146117043072).

82227460320 is an abundant number, since it is smaller than the sum of its proper divisors (210006625824).

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

82227460320 is a wasteful number, since it uses less digits than its factorization.

82227460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16466 (or 16455 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 82227460320 in words is "eighty-two billion, two hundred twenty-seven million, four hundred sixty thousand, three hundred twenty".