78480220 has 144 divisors (see below), whose sum is σ = 212502528. Its totient is φ = 23811840.

The previous prime is 78480217. The next prime is 78480229. The reversal of 78480220 is 2208487.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78480229) 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 47 ways as a sum of consecutive naturals, for example, 733407 + ... + 733513.

It is an arithmetic number, because the mean of its divisors is an integer number (1475712).

Almost surely, 2^78480220 is an apocalyptic number.

78480220 is a gapful number since it is divisible by the number (70) 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 78480220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264).

78480220 is an abundant number, since it is smaller than the sum of its proper divisors (134022308).

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

78480220 is a wasteful number, since it uses less digits than its factorization.

78480220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 78480220 is about 8858.9062530315. The cubic root of 78480220 is about 428.1409193292.

The spelling of 78480220 in words is "seventy-eight million, four hundred eighty thousand, two hundred twenty".