82755792 has 240 divisors, whose sum is σ = 290160000. Its totient is φ = 21482496.

The previous prime is 82755769. The next prime is 82755797. The reversal of 82755792 is 29755728.

It is a happy number.

82755792 is a `hidden beast` number, since 8 + 2 + 7 + 557 + 92 = 666.

It is a super-2 number, since 2×82755792² = 13697042219094528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82755797) 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, 555334 + ... + 555482.

It is an arithmetic number, because the mean of its divisors is an integer number (1209000).

Almost surely, 2^82755792 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 82755792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

82755792 is an abundant number, since it is smaller than the sum of its proper divisors (207404208).

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

82755792 is a wasteful number, since it uses less digits than its factorization.

82755792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 82755792 is about 9097.0210508715. The cubic root of 82755792 is about 435.7788346084.

The spelling of 82755792 in words is "eighty-two million, seven hundred fifty-five thousand, seven hundred ninety-two".