82227457800 has 288 divisors, whose sum is σ = 286924135680. Its totient is φ = 21885292800.

The previous prime is 82227457759. The next prime is 82227457831. The reversal of 82227457800 is 875472228.

82227457800 is a `hidden beast` number, since 8 + 2 + 2 + 2 + 74 + 578 + 0 + 0 = 666.

It is a super-2 number, since 2×82227457800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31734505 + ... + 31737095.

It is an arithmetic number, because the mean of its divisors is an integer number (996264360).

Almost surely, 2^82227457800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82227457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143462067840).

82227457800 is an abundant number, since it is smaller than the sum of its proper divisors (204696677880).

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

82227457800 is a wasteful number, since it uses less digits than its factorization.

82227457800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 82227457800 in words is "eighty-two billion, two hundred twenty-seven million, four hundred fifty-seven thousand, eight hundred".