78578080 has 96 divisors (see below), whose sum is σ = 224695296. Its totient is φ = 25350144.

The previous prime is 78578057. The next prime is 78578089. The reversal of 78578080 is 8087587.

It is not an unprimeable number, because it can be changed into a prime (78578089) 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, 16977 + ... + 21103.

It is an arithmetic number, because the mean of its divisors is an integer number (2340576).

Almost surely, 2^78578080 is an apocalyptic number.

78578080 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 78578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112347648).

78578080 is an abundant number, since it is smaller than the sum of its proper divisors (146117216).

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

78578080 is a wasteful number, since it uses less digits than its factorization.

78578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 43.

The square root of 78578080 is about 8864.4277875112. The cubic root of 78578080 is about 428.3188005318.

The spelling of 78578080 in words is "seventy-eight million, five hundred seventy-eight thousand, eighty".