78466800 has 120 divisors (see below), whose sum is σ = 262376064. Its totient is φ = 20007680.

The previous prime is 78466771. The next prime is 78466813. The reversal of 78466800 is 866487.

It is a tau number, because it is divible by the number of its divisors (120).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26179 + ... + 29021.

Almost surely, 2^78466800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131188032).

78466800 is an abundant number, since it is smaller than the sum of its proper divisors (183909264).

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

78466800 is a wasteful number, since it uses less digits than its factorization.

78466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2876 counting only the distinct ones).

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

The square root of 78466800 is about 8858.1487908027. The cubic root of 78466800 is about 428.1165141195.

The spelling of 78466800 in words is "seventy-eight million, four hundred sixty-six thousand, eight hundred".