82864869780 has 192 divisors, whose sum is σ = 289464440832. Its totient is φ = 17207324160.

The previous prime is 82864869743. The next prime is 82864869781. The reversal of 82864869780 is 8796846828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82864869781) 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, 8250922 + ... + 8260958.

It is an arithmetic number, because the mean of its divisors is an integer number (1507627296).

Almost surely, 2^82864869780 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 82864869780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144732220416).

82864869780 is an abundant number, since it is smaller than the sum of its proper divisors (206599571052).

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

82864869780 is a wasteful number, since it uses less digits than its factorization.

82864869780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11852 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 82864869780 in words is "eighty-two billion, eight hundred sixty-four million, eight hundred sixty-nine thousand, seven hundred eighty".