78466080 has 288 divisors, whose sum is σ = 312100992. Its totient is φ = 16220160.

The previous prime is 78466043. The next prime is 78466097. The reversal of 78466080 is 8066487.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406464 + ... + 406656.

It is an arithmetic number, because the mean of its divisors is an integer number (1083684).

Almost surely, 2^78466080 is an apocalyptic number.

78466080 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 78466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156050496).

78466080 is an abundant number, since it is smaller than the sum of its proper divisors (233634912).

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

78466080 is a wasteful number, since it uses less digits than its factorization.

78466080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 78466080 is about 8858.1081501639. The cubic root of 78466080 is about 428.1152046705.

The spelling of 78466080 in words is "seventy-eight million, four hundred sixty-six thousand, eighty".