82890080 has 96 divisors (see below), whose sum is σ = 241061184. Its totient is φ = 26228736.

The previous prime is 82890047. The next prime is 82890083. The reversal of 82890080 is 8009828.

82890080 = T₂₅₅ + T₂₅₆ + ... + T₈₀₀.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 82890080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82890083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11714 + ... + 17406.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054).

Almost surely, 2^82890080 is an apocalyptic number.

82890080 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 82890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

82890080 is an abundant number, since it is smaller than the sum of its proper divisors (158171104).

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

82890080 is a wasteful number, since it uses less digits than its factorization.

82890080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 82890080 is about 9104.3989367778. The cubic root of 82890080 is about 436.0144203069.

The spelling of 82890080 in words is "eighty-two million, eight hundred ninety thousand, eighty".