83220480 has 384 divisors, whose sum is σ = 345945600. Its totient is φ = 18579456.

The previous prime is 83220451. The next prime is 83220493. The reversal of 83220480 is 8402238.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935339 + ... + 1935381.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^83220480 is an apocalyptic number.

83220480 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 83220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

83220480 is an abundant number, since it is smaller than the sum of its proper divisors (262725120).

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

83220480 is a wasteful number, since it uses less digits than its factorization.

83220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83220480 is about 9122.5259659811. The cubic root of 83220480 is about 436.5929703599.

It can be divided in two parts, 832 and 20480, that added together give a palindrome (21312).

The spelling of 83220480 in words is "eighty-three million, two hundred twenty thousand, four hundred eighty".