82785280 has 176 divisors, whose sum is σ = 224023680. Its totient is φ = 29196288.

The previous prime is 82785271. The next prime is 82785289. The reversal of 82785280 is 8258728.

It is an interprime number because it is at equal distance from previous prime (82785271) and next prime (82785289).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82785289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2237422 + ... + 2237458.

Almost surely, 2^82785280 is an apocalyptic number.

82785280 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 82785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112011840).

82785280 is an abundant number, since it is smaller than the sum of its proper divisors (141238400).

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

82785280 is a wasteful number, since it uses less digits than its factorization.

82785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 82785280 is about 9098.6416568629. The cubic root of 82785280 is about 435.8305881673.

The spelling of 82785280 in words is "eighty-two million, seven hundred eighty-five thousand, two hundred eighty".