82755120 has 240 divisors, whose sum is σ = 309408768. Its totient is φ = 18224640.

The previous prime is 82755103. The next prime is 82755131. The reversal of 82755120 is 2155728.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 364447 + ... + 364673.

Almost surely, 2^82755120 is an apocalyptic number.

82755120 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 82755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154704384).

82755120 is an abundant number, since it is smaller than the sum of its proper divisors (226653648).

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

82755120 is a wasteful number, since it uses less digits than its factorization.

82755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 82755120 is about 9096.9841156287. The cubic root of 82755120 is about 435.7776550568. Note that the first 3 decimals are identical.

The spelling of 82755120 in words is "eighty-two million, seven hundred fifty-five thousand, one hundred twenty".