82760345650884 has 144 divisors (see below), whose sum is σ = 222364030109760. Its totient is φ = 23755716391680.

The previous prime is 82760345650859. The next prime is 82760345650909. The reversal of 82760345650884 is 48805654306728.

It is an interprime number because it is at equal distance from previous prime (82760345650859) and next prime (82760345650909).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361516602 + ... + 361745454.

It is an arithmetic number, because the mean of its divisors is an integer number (1544194653540).

Almost surely, 2^{82760345650884} 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 82760345650884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111182015054880).

82760345650884 is an abundant number, since it is smaller than the sum of its proper divisors (139603684458876).

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

82760345650884 is a wasteful number, since it uses less digits than its factorization.

82760345650884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236498 (or 236477 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 66.

The spelling of 82760345650884 in words is "eighty-two trillion, seven hundred sixty billion, three hundred forty-five million, six hundred fifty thousand, eight hundred eighty-four".