78886080 has 504 divisors, whose sum is σ = 347819472. Its totient is φ = 16257024.

The previous prime is 78886051. The next prime is 78886117. The reversal of 78886080 is 8068887.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834539 + ... + 1834581.

It is an arithmetic number, because the mean of its divisors is an integer number (690118).

Almost surely, 2^78886080 is an apocalyptic number.

78886080 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 78886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173909736).

78886080 is an abundant number, since it is smaller than the sum of its proper divisors (268933392).

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

78886080 is a wasteful number, since it uses less digits than its factorization.

78886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 78886080 is about 8881.7836046596. The cubic root of 78886080 is about 428.8776934664.

It can be divided in two parts, 788 and 86080, that added together give a palindrome (86868).

The spelling of 78886080 in words is "seventy-eight million, eight hundred eighty-six thousand, eighty".