78778800 has 180 divisors, whose sum is σ = 277844320. Its totient is φ = 20666880.

The previous prime is 78778793. The next prime is 78778811. The reversal of 78778800 is 887787.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 284262 + ... + 284538.

Almost surely, 2^78778800 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 78778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138922160).

78778800 is an abundant number, since it is smaller than the sum of its proper divisors (199065520).

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

78778800 is a wasteful number, since it uses less digits than its factorization.

78778800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 78778800 is about 8875.7422224848. The cubic root of 78778800 is about 428.6831899004.

The spelling of 78778800 in words is "seventy-eight million, seven hundred seventy-eight thousand, eight hundred".