82705920 has 240 divisors, whose sum is σ = 293887440. Its totient is φ = 19824640.

The previous prime is 82705891. The next prime is 82705921. The reversal of 82705920 is 2950728.

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82705921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929236 + ... + 929324.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2^82705920 is an apocalyptic number.

82705920 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 82705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943720).

82705920 is an abundant number, since it is smaller than the sum of its proper divisors (211181520).

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

82705920 is a wasteful number, since it uses less digits than its factorization.

82705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 82705920 is about 9094.2795206657. The cubic root of 82705920 is about 435.6912776784.

The spelling of 82705920 in words is "eighty-two million, seven hundred five thousand, nine hundred twenty".