82026362880 has 768 divisors, whose sum is σ = 363620275200. Its totient is φ = 17040015360.

The previous prime is 82026362849. The next prime is 82026362923. The reversal of 82026362880 is 8826362028.

82026362880 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 636 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21287034 + ... + 21290886.

It is an arithmetic number, because the mean of its divisors is an integer number (473463900).

Almost surely, 2^82026362880 is an apocalyptic number.

82026362880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82026362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181810137600).

82026362880 is an abundant number, since it is smaller than the sum of its proper divisors (281593912320).

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

82026362880 is a wasteful number, since it uses less digits than its factorization.

82026362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82026362880 in words is "eighty-two billion, twenty-six million, three hundred sixty-two thousand, eight hundred eighty".