82810980 has 216 divisors, whose sum is σ = 300638520. Its totient is φ = 18385920.

The previous prime is 82810943. The next prime is 82810993. The reversal of 82810980 is 8901828.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 75585636 = 2688^2 + 8694^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361506 + ... + 361734.

It is an arithmetic number, because the mean of its divisors is an integer number (1391845).

Almost surely, 2^82810980 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 82810980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150319260).

82810980 is an abundant number, since it is smaller than the sum of its proper divisors (217827540).

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

82810980 is a wasteful number, since it uses less digits than its factorization.

82810980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 82810980 is about 9100.0538459945. The cubic root of 82810980 is about 435.8756834920.

The spelling of 82810980 in words is "eighty-two million, eight hundred ten thousand, nine hundred eighty".