82430880 has 96 divisors (see below), whose sum is σ = 296763264. Its totient is φ = 18840576.

The previous prime is 82430819. The next prime is 82430897. The reversal of 82430880 is 8803428.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8907 + ... + 15626.

It is an arithmetic number, because the mean of its divisors is an integer number (3091284).

Almost surely, 2^82430880 is an apocalyptic number.

82430880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82430880 is an abundant number, since it is smaller than the sum of its proper divisors (214332384).

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

82430880 is a wasteful number, since it uses less digits than its factorization.

82430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24558 (or 24550 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82430880 is about 9079.1453342261. The cubic root of 82430880 is about 435.2077749656.

The spelling of 82430880 in words is "eighty-two million, four hundred thirty thousand, eight hundred eighty".