78420080 has 80 divisors (see below), whose sum is σ = 190654464. Its totient is φ = 29963520.

The previous prime is 78420059. The next prime is 78420157. The reversal of 78420080 is 8002487.

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

It is a super-2 number, since 2×78420080² = 12299417894412800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 255287 + ... + 255593.

Almost surely, 2^78420080 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 78420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

78420080 is an abundant number, since it is smaller than the sum of its proper divisors (112234384).

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

78420080 is a wasteful number, since it uses less digits than its factorization.

78420080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 78420080 is about 8855.5112782944. The cubic root of 78420080 is about 428.0315288154.

The spelling of 78420080 in words is "seventy-eight million, four hundred twenty thousand, eighty".