82789864290 has 384 divisors, whose sum is σ = 263090161152. Its totient is φ = 18341406720.

The previous prime is 82789864271. The next prime is 82789864309. The reversal of 82789864290 is 9246898728.

It is an interprime number because it is at equal distance from previous prime (82789864271) and next prime (82789864309).

It is a super-3 number, since 3×82789864290³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75744984 + ... + 75746076.

It is an arithmetic number, because the mean of its divisors is an integer number (685130628).

Almost surely, 2^82789864290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82789864290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131545080576).

82789864290 is an abundant number, since it is smaller than the sum of its proper divisors (180300296862).

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

82789864290 is a wasteful number, since it uses less digits than its factorization.

82789864290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 82789864290 in words is "eighty-two billion, seven hundred eighty-nine million, eight hundred sixty-four thousand, two hundred ninety".