82134780 has 192 divisors, whose sum is σ = 289766400. Its totient is φ = 17273088.

The previous prime is 82134763. The next prime is 82134781. The reversal of 82134780 is 8743128.

It is a super-2 number, since 2×82134780² = 13492244171296800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82134781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267387 + ... + 267693.

It is an arithmetic number, because the mean of its divisors is an integer number (1509200).

Almost surely, 2^82134780 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 82134780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144883200).

82134780 is an abundant number, since it is smaller than the sum of its proper divisors (207631620).

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

82134780 is a wasteful number, since it uses less digits than its factorization.

82134780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82134780 is about 9062.8240631715. The cubic root of 82134780 is about 434.6860464195.

The spelling of 82134780 in words is "eighty-two million, one hundred thirty-four thousand, seven hundred eighty".