78004320 has 96 divisors (see below), whose sum is σ = 248300640. Its totient is φ = 20582400.

The previous prime is 78004319. The next prime is 78004327. The reversal of 78004320 is 2340087.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78004327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47676 + ... + 49284.

It is an arithmetic number, because the mean of its divisors is an integer number (2586465).

Almost surely, 2^78004320 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 78004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124150320).

78004320 is an abundant number, since it is smaller than the sum of its proper divisors (170296320).

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

78004320 is a wasteful number, since it uses less digits than its factorization.

78004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

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

The square root of 78004320 is about 8832.0054347809. The cubic root of 78004320 is about 427.2737560094.

The spelling of 78004320 in words is "seventy-eight million, four thousand, three hundred twenty".