78508080 has 240 divisors, whose sum is σ = 310200384. Its totient is φ = 17418240.

The previous prime is 78508063. The next prime is 78508081. The reversal of 78508080 is 8080587.

78508080 is a `hidden beast` number, since 78 + 508 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78508081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186270 + ... + 186690.

Almost surely, 2^78508080 is an apocalyptic number.

78508080 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 78508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155100192).

78508080 is an abundant number, since it is smaller than the sum of its proper divisors (231692304).

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

78508080 is a wasteful number, since it uses less digits than its factorization.

78508080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 78508080 is about 8860.4785423813. The cubic root of 78508080 is about 428.1915758081.

The spelling of 78508080 in words is "seventy-eight million, five hundred eight thousand, eighty".