78066450 has 192 divisors, whose sum is σ = 268554240. Its totient is φ = 16200000.

The previous prime is 78066449. The next prime is 78066479. The reversal of 78066450 is 5466087.

It is a happy number.

78066450 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 645 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103575 + ... + 104325.

It is an arithmetic number, because the mean of its divisors is an integer number (1398720).

Almost surely, 2^78066450 is an apocalyptic number.

78066450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78066450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277120).

78066450 is an abundant number, since it is smaller than the sum of its proper divisors (190487790).

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

78066450 is a wasteful number, since it uses less digits than its factorization.

78066450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78066450 is about 8835.5220558833. The cubic root of 78066450 is about 427.3871662818.

The spelling of 78066450 in words is "seventy-eight million, sixty-six thousand, four hundred fifty".