78220320 has 96 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 20613120.

The previous prime is 78220313. The next prime is 78220339. The reversal of 78220320 is 2302287.

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

It is a super-2 number, since 2×78220320² = 12236836921804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41805 + ... + 43635.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 2^78220320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

78220320 is an abundant number, since it is smaller than the sum of its proper divisors (171078240).

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

78220320 is a wasteful number, since it uses less digits than its factorization.

78220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 78220320 is about 8844.2252345810. The cubic root of 78220320 is about 427.6677772423.

The spelling of 78220320 in words is "seventy-eight million, two hundred twenty thousand, three hundred twenty".