82555380 has 144 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 20563200.

The previous prime is 82555331. The next prime is 82555381. The reversal of 82555380 is 8355528.

82555380 is a `hidden beast` number, since 8 + 25 + 553 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (82555381) 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, 345301 + ... + 345539.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^82555380 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 82555380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

82555380 is an abundant number, since it is smaller than the sum of its proper divisors (184766220).

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

82555380 is a wasteful number, since it uses less digits than its factorization.

82555380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 82555380 is about 9085.9991195245. Note that the first 3 decimals coincide. The cubic root of 82555380 is about 435.4267710187.

The spelling of 82555380 in words is "eighty-two million, five hundred fifty-five thousand, three hundred eighty".