78304080 has 80 divisors (see below), whose sum is σ = 243627264. Its totient is φ = 20805120.

The previous prime is 78304067. The next prime is 78304097. The reversal of 78304080 is 8040387.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78304080² = 12263057889292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 103062 + ... + 103818.

Almost surely, 2^78304080 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 78304080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121813632).

78304080 is an abundant number, since it is smaller than the sum of its proper divisors (165323184).

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

78304080 is a wasteful number, since it uses less digits than its factorization.

78304080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78304080 is about 8848.9592608397. The cubic root of 78304080 is about 427.8203747366.

The spelling of 78304080 in words is "seventy-eight million, three hundred four thousand, eighty".