82990080 has 132 divisors (see below), whose sum is σ = 287718132. Its totient is φ = 22118400.

The previous prime is 82990057. The next prime is 82990091. The reversal of 82990080 is 8009928.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 63489024 = 4416^2 + 7968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45180 + ... + 46980.

Almost surely, 2^82990080 is an apocalyptic number.

82990080 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 82990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143859066).

82990080 is an abundant number, since it is smaller than the sum of its proper divisors (204728052).

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

82990080 is a wasteful number, since it uses less digits than its factorization.

82990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 82990080 is about 9109.8891321465. The cubic root of 82990080 is about 436.1896882438.

It can be divided in two parts, 829 and 90080, that added together give a palindrome (90909).

The spelling of 82990080 in words is "eighty-two million, nine hundred ninety thousand, eighty".