82834780 has 48 divisors (see below), whose sum is σ = 201793536. Its totient is φ = 27973440.

The previous prime is 82834733. The next prime is 82834781. The reversal of 82834780 is 8743828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82834781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4965 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (4204032).

Almost surely, 2^82834780 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 82834780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100896768).

82834780 is an abundant number, since it is smaller than the sum of its proper divisors (118958756).

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

82834780 is a wasteful number, since it uses less digits than its factorization.

82834780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 82834780 is about 9101.3614366203. The cubic root of 82834780 is about 435.9174366010.

The spelling of 82834780 in words is "eighty-two million, eight hundred thirty-four thousand, seven hundred eighty".