83000480 has 48 divisors (see below), whose sum is σ = 196699104. Its totient is φ = 33096960.

The previous prime is 83000461. The next prime is 83000483. The reversal of 83000480 is 8400038.

It is not an unprimeable number, because it can be changed into a prime (83000483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70295 + ... + 71465.

It is an arithmetic number, because the mean of its divisors is an integer number (4097898).

Almost surely, 2^83000480 is an apocalyptic number.

83000480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83000480 is an abundant number, since it is smaller than the sum of its proper divisors (113698624).

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

83000480 is a wasteful number, since it uses less digits than its factorization.

83000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 83000480 is about 9110.4599225286. The cubic root of 83000480 is about 436.2079080250.

The spelling of 83000480 in words is "eighty-three million, four hundred eighty", and thus it is an aban number.